(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

M[tex]\ddot{X}[/tex](t)+c[tex]\dot{X}[/tex](t)+kx(t) =f(t)

Initial Conditions:

x(0) = .02

[tex]\dot{X}[/tex](0)=0

-Use laplace transform to convert the ordinary differential equation in the time domain to an algebraic equation in the frequency domain.

-Derive the transfer Function G(S) = [tex]\frac{X(S)}{F(S)}[/tex]

2. Relevant equations

3. The attempt at a solution

mS[tex]^{2}[/tex]X(S) - .02MS + CSX(S) - .02C + KX(S) = F(S)

[mS[tex]^{2}[/tex] - CS+K]X(S) = F(S) +.02MS - .02C

X(S) = F(S) +.02MS - .02C / mS[tex]^{2}[/tex] - CS+K

This is where I get confused.

1. Should I of divided out the M in the beginning?(i.e. k/m, c/m..)

2. At this point do I need partial fractions to go further?

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# Homework Help: Laplace issue

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