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Mathematics 9 Online
OpenStudy (anonymous):

Differential equations: x''+2x'+2x=2*delta(t-pi), x(0)=x'(0)=0 I am not sure how to do this problem... I found X(s) to be 2*e^(-pi*s)/(s^2+2s+2), but how do you do the laplace transform of 1/(s^2+2s+2)? Is there a laplace transform for functions with complex roots?

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