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Solving Differential Equations : Laplace Transforms

Using laplace transforms solve the following problems:

1. Find Y(t) if

Y'''' + 2Y'' +Y = 3 + cos 2t

with Y(0) = Y'(0) = Y''(0) = Y'''(0) please show the partial fraction expansion and how it was not need to invert.

replace cos2t with f(t) and show that solution.

Solution Summary

Laplace transforms are investigated. The solution is detailed and well presented.