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Differential equations and Laplace transforms
Transfer and response functions: Step 1/2
Find the transfer function of the initial value problem
\[ {{d^2}\over{d t^2}} x-{{d}\over{d t}} x-6 x=\cos(2t)\]
with initial conditions \(x(0)=0\) and \(x'(0)=1\).
Give your answer in the form of a rational function of #s#.
\[ {{d^2}\over{d t^2}} x-{{d}\over{d t}} x-6 x=\cos(2t)\]
with initial conditions \(x(0)=0\) and \(x'(0)=1\).
Give your answer in the form of a rational function of #s#.
| #H(s)=# |
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