Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t)...

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t) and t number as well) I need a professional expert to answer this question. (be able to follow the comment) (Show the step for what you need to get for drawing this solution as well)

Expert Solution

this is basically laplace transforms, if u want how these do, quick google about these will definitly help u out

and i assume y'(0) = 0 . u missed it in th question

plz comment if u have any doubt, thanks

genius_generous answered 2 years ago

Find the general solution and solve the IVP y''+y'-y=0, y(0)=2, y'(0)=0

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.

solve by details y"+y=-1 ,y(0)=0,y(Pi/2)=0 by properties of green function

Solve the IVP by applying the Laplace transform:y''+y=sqrt(2)*sin[sqrt(2)t]; y(0)=10, y'(0)=0

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SOLVE the IVP: (D^2+1)y = e^t, y(0) = -1 and y'(0) = 1. Thank you.

Use the Laplace transform to solve the IVP: y^'''+y^''+3y^'-5y =16e^(-t); y(0)=0; y'(0)=2; y^'' (0)= -4

Suppose that f(t) is the unique solution to the IVP y' = t + y^2 ,...

Suppose that f(t) is the unique solution to the IVP y' = t + y^2 , y(0) = 5 and g(t) is the unique solution to the IVP y' = 1/(y + t^2) , y(5) = 0. a. Determine an IVP that the function y = f(g(t)) solves. [Hint: You differential equation part will contain the functions t, g(t), and y in its expression. b. (2 points) Show that the function y = t also solves this IVP. c. (2...

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each...

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each of the following: a) y^''+2y^'+5y=e^2x b) y^''+2x/(x^2+1) y'=x c) y^''+4y=1/(sin⁡(2x)) (use variation of parameters)

solve this IVP 9y'' +33.33y' +464.21y=8sin(t/4), y(0)=0, y'(0)=.04

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