Question

Use Laplace and inverse Laplace transforms to solve the differential equation d 4 y(t) dt4 + 2 d 3 y(t) dt3 + 2 d 2 y(t) dt2 + 2 dy(t) dt + y(t) = 0 for dy(t) dt t=0 = 1

Answer 1

The boundary conditions is not complete, I however solved it by assuming BC. use the same approach to answer the question, given that the boundary conditions of the 4th differential, 3rd differential, 2nd differential must have been given.

Explanation:

The application of Laplace transformation in solving ODE - Ordinary differential equation is as shown in the attachment.