anonymous
  • anonymous
Solve the IVP (dirac's delta function)
Differential Equations
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[y''+y=\delta(t-\pi)-\delta(t-2\pi)\] \[y(0)=0\] \[y'(0)=1\]
anonymous
  • anonymous
I got: \[y=\frac{ e^{-\pi*s}-e^{-2*\pi*s}+1 }{ s^2+1 } = \sin(t) u(t-\pi)-\sin(t) u(t-2*\pi)+\sin(t)\] The book's answer is: \[\sin(t) (02\pi)\] Is my answer correct, and how would I get it in the above form?

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