I am stuck with this equation. If you can help me y''(t) + 12 y'(t) + 32 y(t) = 32 u(t) wi

yopopolin10d 2022-04-28 Answered
I am stuck with this equation. If you can help me
y(t)+12y(t)+32y(t)=32u(t) with y(0)=y(0)=0
I found the laplace transform for y(t)
Y(p)=x=32(p(p2+12p+32))
so i need the laplace transform of y(t) and then the solution for y(t).
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Answers (1)

jeffster830gyz
Answered 2022-04-29 Author has 21 answers
32p(p2+12p+32)=32p((p+6)222)=32p(p+4)(p+8)
Now use partial fractions method to get
ap+bp+4+cp+8
Then the Laplace inverse would be,
a+b4t+c8t
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