- #1
j3dwards
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Homework Statement
Solve the following initial value problem using Laplace transforms: y' + 4y = 3t3 e−4t ; y(0) = 0 . Useful information: Recall that the Laplace transform of y 0 is pY − y(0), where Y is the Laplace Transform of y. The Laplace transform of tk e−at is k!/(p + a)k+1 . Confirm the validity of your result by an explicit check.
Homework Equations
tk e−at is k!/(p + a)k+1
The Attempt at a Solution
So I have the solution:
y=3/4 t4e−4t
And I know this is correct.
However is there a specific check I can do to make sure this is correct? ie. What is the explicit check?