solve using laPlace dy/dt+4y=40sin3t; y(0)=6 Please show all steps and write neat, thanks!

Expert Solution

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Colby Messinger answered 1 year ago

Solve using Laplace and Inverse Laplace Transforms. Y’’’-y’’-4y’+4y=0 y(0)=1 y’(0)=9 y’’(0)=1

Use a LaPlace transform to solve d^2x/dt^2+dx/dt+dy/dt=0 d^2y/dt^2+dy/dt-4dy/dt=0 x(0)=1,x'(0)=0 y(0)=-1,y'(0)=5

solve y'' + 4y =6 sin (t);y(0) =6, y'(0)=0 using 1st laplace transforms, 2nd undertinend coefficent,...

solve y'' + 4y =6 sin (t);y(0) =6, y'(0)=0 using 1st laplace transforms, 2nd undertinend coefficent, and 3rd variation of parameters.

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.

solve using variation of parameters. y'' + 4y = 6 sint; y(0)=6, y'(0) = 0

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use...

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use the convolution theorem to write your answer. You may leave your answer expressed in terms of an integral.

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0)...

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0) = −7 2. (1− t) y''+ t y' − y = 0, y(0) = 3, y'(0) = −1

Solve the initial value problem below using the method of Laplace transforms. y"-4y'+13y=10e^3t y(0)=1, y'(0)=6

Solve the initial value problem below using the method of Laplace transforms. ty''-4ty'+4y=20, y(0)=5 y'(0)=-6

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0)...

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0) = 2

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