- #1
TheC0bbler
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Homework Statement
Consider the following initial value problem:
y''-6y'-7y=sin(9t)
y(0)=-4, y'(0)=-3
I need to solve for L[y(t)]
Homework Equations
The Attempt at a Solution
Here are the steps I've taken to solve it:
L(y'')-6L(y')-7L(y)=L(sin(9t))
s2L(y)-(-4)-(-3)-6(sL(y)-(-4))-7L(y)=9/(s2+81)
L(y)(s2-6s-7)-17=9/(s2+81)
L(y)(s2-6s-7)=9/(s2+81)+17
Y(s) =((9/(s2+81))+17)/(s2-6s-7)
I've simplified it with partial fractions as well but either way when I enter it into my homework page it says it's wrong.