- #1
fiona.young
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Homework Statement
I need to solve the ODE y''-y = t - tH(t-1); y(0)=y'(0)=0
Homework Equations
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The Attempt at a Solution
I'm fine with the process of solving the ODE, but I need a little help regarding the first t. From what I understand from lectures, all of the 't' terms need to be in the form of (t-a). So I've done:
y''-y = (t-1) - (t-1)H(t-1)+H(t-1)
L{y''-y} = L{t-1} - L{(t-1)H(t-1)} + L{H{t-1)}
I just wanted to check that it's correct to change the first 't' into (t-1) and then treat the RHS as:
L{y''-y} = L{t} - L{1} - L{(t-1)H(t-1)} + L{H{t-1)}
Thanks :)
Fiona