Question

In: Advanced Math

1. Solve the initial value problem below using the method of Laplace transforms. 56w′′−4w′+4w=16t+56​, w(−3)=2​, w'(-3)=2...

1. Solve the initial value problem below using the method of Laplace transforms.

56w′′−4w′+4w=16t+56​, w(−3)=2​, w'(-3)=2

2. Solve for​ Y(s), the Laplace transform of the solution​ y(t) to the initial value problem below.

ty′′−6y′+9y=cos5t−sin5t​, y(0)=4​, y'(0)=4

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