Solve using Laplace Transform ty'' + 2(t-1)y'-2y = 0 y(0)=0, y'(0)=0, Y(s) = C/(s^2+2s)^2 (C is...

Solve using Laplace Transform

ty'' + 2(t-1)y'-2y = 0 y(0)=0, y'(0)=0, Y(s) = C/(s^2+2s)^2 (C is arbitrary)

Expert Solution

Colby Messinger answered 2 years ago

solve using the laplace transform y''-2y'+y=e^-1 , y(0)=0 , y'(0)=1

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) =...

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) = 0, y'(0) = 0, y''(0) = 0

u(t−c) =uc(t) ={0, 0≤t<c,1, t≥c.} USE Laplace Transform to solve y′′+ 2y′+ 2y=δ(t−5)e^tcost, y(0) = 1,...

u(t−c) =uc(t) ={0, 0≤t<c,1, t≥c.} USE Laplace Transform to solve y′′+ 2y′+ 2y=δ(t−5)e^tcost, y(0) = 1, y′(0) = 2, whereδ(t)is the Dirac delta. Does the solution show a resonance?

Solve using Laplace Transform: 1) y'' - 2y' + 5y = cos(2t) - cos(2t)u4pi(t); y(0) =...

Solve using Laplace Transform: 1) y'' - 2y' + 5y = cos(2t) - cos(2t)u4pi(t); y(0) = 0, y'(0) = 0

Use the Laplace transform to solve the problem with initial values y''+2y'-2y=0 y(0)=2 y'(0)=0

Solve the differential equation by Laplace transform y^(,,) (t)-2y^' (t)-3y(t)=sint where y^' (0)=0 ,y=(0)=0

Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) =...

Solve the initial–value problem by using the Laplace transform. y′′ +2y′ +10y = δ(t−π), y(0) = 0, y′(0) = 4

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = -...

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = - 1 , i am stuck on the partial fraction decomposition step. please explain the decomposition clearly.

Use the Laplace transform to solve the problem with initial values y''-2y'+2y=cost y(0)=1 y'(0)=0

Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2

Question