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I'm going to discuss the solution for differential equations in Matlab.

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The first code is you will die Sims d d solve and insert the parenthesis.

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You will write inside the double quotation marks okay.

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Due to y.

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Which means that it is second order differential equation plus Y is equal to ores instead apprentices

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will write to D to static T means to multiply by T.

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So after besting the intermittent you will get the required solution after differential allocation.

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Okay you can write it just like simplify answer means the answer that you will get.

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You will get that answer in simpler simplified form.

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Also you can get that answer and petty inside the plans to write on.

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Okay let me check it in MATLAB how this code works in Matlab.

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Similarly Sims dy and d solve inside the double quotation mark you will write these two y plus y is

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equal to cause and this is to D Okay and after best thing the interpreter you will get this solution

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and you can see that this solution is not in simplified form.

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You will just type all here simplify and inside the parenthesis you will write ons of the best in the

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interpreter button you will get the simplified answer.

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So this is simplified answer.

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You can also get the correct answer so you'll type already inside the parenthesis work by ons.

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So this is your pretty answer.

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Okay now we take another court and this is r same court not a different court.

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But here we are taking the initial conditions initial conditions R B Y at zero is equal to zero and

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y and zero is equal to 1.

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Okay.

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The same goal is and we will not check that how this could work in MATLAB that initial conditions.

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Okay so just like this all inside the parenthesis there would be two are you can see a number of additional

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LOC and inside the number additional light where I need two way plus Y is equal to class 2 to D and

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now you will type D Y at 0 is equal to zero.

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Yes this is initial condition and Y at zero is equal to 1.

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Yes best the interpreter you will get the right answer.

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Okay.

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Simplify answer I mean that your answer will be simplified on.

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Okay so this is your simplified answers with initial conditions.

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Remember that this answer is with initial conditions.

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Okay so this is your pretty answer.

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Okay.

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And our solution for differential equations with n and the core this is and record in this score he

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will type a physical to add a bit inside the parenthesis decode the way minus y plus two t to multiply

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by D and D F is equal to two why not is equal to 1 inside the scope record he will write D Y is equal

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to all 45.

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Remember this is all 45 not forty five and inside this parenthesis you will write f comma zero to F

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and zero G F will be in thus good because comma why is it.

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Why not blot d come away and X label y level you will just type as you can check this scored clearly

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okay no see that whole discord of work in Matlab.

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Okay let

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physical drama that it take them away minus a y plus two multiplied by D the same code you can paste

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over here.

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OK I will upload dot all the images and from that images you can copy and after copying you can paste

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in your Matlab software and then you can take that either this code work or not.

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If this could work then what you get OK so I am writing the same go that I have described in the previous

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slide.

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So this is D is equal to or.

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What if life OK so it is f comma yes.

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I will type 0.

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D F and no one right.

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Why not.

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Why 0 and semicolons blocked inside the parentheses you will right Dickerman y semicolon and X label

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inside the parenthesis with a double quotation marks you will write D and why label okay why label inside

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the apprentices you will write with the double quotation mark complaint of D Yes this is way off D and

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to no semicolon yes.

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On no run discord and benefit will run discord you will get this on set.

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Okay so since we would write plot so this is your plotting okay the required plotting of discord okay

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D and a way of D Okay horizontal and what it would take another record in this chord seems y affects

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these ways the control differential of like on my x fun is a to differentiate y x2 is equal to class

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to X minus Y solve is equal to be solved and so the points as you will write fun simplify answer and

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pretty answer the same.

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Okay so this is the court no we type this code are copy paste in the matlab and we check that what is

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the solution of this differential equation.

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Okay here we are writing the Sims Way of X and no you are type D Y just like dy ways equal to differential

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of y como X and yes no it is way X only okay y comics remember that this is like on X not why X label.

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Okay yes one is equal to differential.

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Okay I will make it correct in the next one is equal differential Viacom or X come comma to the same

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core we are typing over here that we have study in the previous lt is equal to is equal to two time

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who will write equal odds and inside the apprentices you will write to X to multiply by x yes and no

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you can solve is equal to dissolve instead of function simplify the function so this is your right answer

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another code for loop last transfer.

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Okay so this is simple D and LA plus of 10 plus two T plus five sine 40 pretty and so yeah of course

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it is right a simple chord OK you can see that you will just type LA plus an inside the parenthesis

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you will write the given functions that there are two you want to find the LA plus of there to LA plus.

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OK so then plus two two plus five sine 40 is the required functions on which you point to find that

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the plus which that hold this could work in MATLAB

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you can copy are based in MATLAB hard you can type this like since yes D and plus yes you will table

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here the same code then plus it will be to t yes 10 plus two multiplied by a D plus sign it is sign

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it is five sign five multiply by saying sorry five multiply by sign for T Yes.

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And after that press the enter button and you can find the solution.

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OK so this is the solutions.

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But before seeing the solution you'll write pretty pretty on OK and no press the enter button.

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Now we check that orders lancer.

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OK.

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So this is your set and it's called

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No we will change it.

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And now we find that in Wasilla plus this so this is the court father in Wasilla plus you will die.

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Same sex I I love plus a Law plus means that in Wasilla loss of 60 vote by X plus 2 Yes.

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You were my escape last sixteen minus four divided by Esquire.

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You will type these solve inside the parenthesis you will write D Y is equal to 1.

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Plus why a skier.

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Okay and why are it equal to one.

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So this is your initial condition.

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Okay.

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The same court we will table here to find out it was a plus.

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Seems s okay.

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Hi.

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Plus it was a plus it's Lake

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six divided by S and

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so six new whereby s plus your typo here the same court that we have study in the previous slight to

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s do a rabbi s squared plus 16 so this sort of built in sort of the Panthers.

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Yes.

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Okay.

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No the remaining part of this question is interdependencies.

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You will write

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okay so this is your answer.

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After typing.

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Okay so do dissolve is this lie again we are taking on the differential equations to check the solution

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of this differential equation D Y so it means that the Y plus do is equal to one plus y for starter

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differential equation.

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Okay and your type.

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These sort of do you y again sorry 1 plus y and then you drive y scared 1 plus y scare obviously Y is

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equal to one plus y skewered and with initial condition in a Y at zero.

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And.

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Why yes this is your required answer.

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Okay.

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So this is the code of another differential equation.

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The solution of the differential equations with initial conditions.

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Okay.

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Now will take and that differential equation D saw inside the apprentices inserted the double quotation

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mark you'll write D to wipe last three three multiply by D Y and plus two plus two Y is yes is equal

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to ten okay what is simple you just d y initial condition d why at zero a girl five and a Y at zero

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is equal to zero.

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So of the best land number and this is your quote answer.