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jrsweet
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Homework Statement
Consider the following initial value problem:
y''+4y = 9t, 0<=t<2
...0, t>=2
Find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s)
Homework Equations
The Attempt at a Solution
I am just having trouble with the step function:
Say g(t)= 9t, 0<=t<2
...0, t>=2
g(t)= (1-u(t-2))9t ?
= 9t-u(t-2)9t
So, Laplace{g(t)} = (9-9e-2s)/(s2)
SO, s2Y(s) + 4Y(s) = (9-9e-2s)/(s2)
And, Y(s) = (9-9e-2s)/((s2)(s2+4))
There is something wrong with this. If anyone could help me out that would be much appreciated! Thanks!
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