4. Use Laplace transform to solve the fowowing Initial -value problem : y" *y =hlt),ylo)=1,y'l=2 where

Q: Use the Laplace Transform to solve the following initial value problem y" + 20y + 51y = 0 subject to…

A:

Q: y" – 7y' + 12y = 4t where y(0) = 1 and y'(0) = 0

A:

Q: (28x if |x|1* Find the Fourier transform of (x) = { %3D

A:

Q: Use Laplace transform to solve: du ди -x = 0; u(x,0) = e*, u(0,t) = 0. at %3D %3D ax

A: Solution

Q: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

A:

Q: 6. Solve using Laplace transforms: y' + 3y = e5t, y(0) = 2

A:

Q: h(t)=t^2sin(3t) laplace transform

A: Given function is,                h(t) = t2 sin3t (.)  Some properties of Laplace transform :- (i)…

Q: Use the Laplace transform to solve the given initial-value problem. y" - 5y' = 8et - 4e-t, y(0) = 1,…

A:

Q: Use laplace transform to solve the initial value problem; a) y''+9y=cos3t,y(0)=2, y'(0)=5.

A: We shall use Laplace and inverse Laplace transform to solve this

Q: Use convolution and Laplace transform to evaluate y''+y=sin(t) , y(0)=1 , y'(0)=-1

A:

Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

A:

Q: Use Laplace transform technique to solve , y"-y'-6y= 0, Given y(0) = 1 and y'(0) = -1

A:

Q: Use the laplace transform to solve 3x'-y=2r;x'+y'-y=0; x(0)=y(0)=0

A:

Q: Use Laplace transforms to solve the following initial value problem. x'' - 9x = 5t; x(0)=x'(0)=0…

A: The given initial value problem is x''-9x=5t, x(0)=x'(0)=0 The laplace differential formula is…

Q: Solve the following DE using laplace transform method  y"-4y=0 when y(0)=0, y'(0)=6

A:

Q: Use Laplace transform to solve the following IVP y′′(t) = 4y(t) −e^(−t)U(t −1), y(0) = y′(0) = 0.

A:

Q: Solve the IVP using Laplace Transform y" = y + 2y, y(0) = -2, y (0) = 3.

A:

Q: Use Raplace Transform to Solue y?+3y'+2y=DUglt) O and %3D guen ylo) =0 y'l6)=1 %3D

A: Use Laplace table to solve this.

Q: Use the laplace transform to solve 3r'-y=21;x'+y'-y=0; x(0)=y(0)=0

A:

Q: Use Laplace transforms to solve the IVP y''+1=0, y(0)=1, y'(0)=1

A:

Q: 22) Solve using Laplace Transform y" + 2y' +5y = etsint where y(0) = 0, y'(0) = 1

A: Solution to the differential equation by using Laplace transform

Q: ii. f(t)= e*tsinhrt 't sinh at

A: Laplace transform formulae: 1. Ltnf(t)=(-1)ndndsnLf(t) 2. Leatf(t)=Lf(t)s→s-a Given: f(t)=e3ttsinhπt

Q: Use Laplace Transforms to solve the initial value problem. x"+x = sin2t; x(0)=0=x'(0)

A: Solution of Intial value problem using Laplace transferom

Q: Use Laplace transform to solve the intial value problem.

A: We are given the differential equation,

Q: Use Laplace Transform to solue y' +zy y=4et %3D given ylo)"= 2 and y'lo). y'66)=-1 %3D

A:

Q: Use the Laplace transform to solve y' - v = te'sint, y(0) = 0

A: To solve the given IVP, first we take the Laplace transform of differential equation and then we use…