Question

Can someone help locate where I went wrong so far?

*Laplace transform*

Answer 1

\(\Large y''+y=\delta(t-\frac{1}{2}\pi)+\delta (t-\frac{3}{2}\pi) \) given y(0)=0 and y'(0)=0

\(\Large S^2Y(S)-Sy(0)-y'(0) +Y(S)=e^{-\pi/2}+e^{-3\pi / 2} \)

\(\Large Y(S)(S^2+1)=e^{(-\pi/2)c}+e^{(-3\pi / 2)c} \)


\(\LARGE Y(S)=\frac{e^{(-\pi/2)c}}{S^2+1}+\frac{e^{(-3\pi / 2)c}}{S^2+1} \)

Answer 2

what math is this?

Answer 3

in last and second line, what's "c"? you mean "s" right? "s" is missing also in line before that.

that aside, there's nothing wrong with this. you just need to switch it back into sines.

Answer 4

Actually the c's are just variables in the transform list, and yea I noticed I was missing them.

But the probably is that the way I did it they transform into sines.. but in the answer given it was in cosines.

Answer 5

*problem -.-

Answer 6

you seem to start by using "s" in the transform, not c. therefore your transform will be meaningless until you go all out with F(s), or change everything to F(c). or F(whatever_you_like), as long as it's consistent :-)

and, in your answer, you will get cosines because of the pi/2 and 3pi/2 phase shifts.