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## Homework Statement

Given the following circuit:

Where R=C=L=1, with Vs(t) = sin(wt) and complete response Vo(t)=A*sin(wt + π/4).

## Homework Equations

Determine the init. cond. of the capacitor voltage Vc and Inductor current Ic at t = 0. Also, find A and w.[/B]

## The Attempt at a Solution

My thought process told me to find the transfer function in s-domain. I did that by doing laplace transform of Vo and Vs and then divide them. I got

H(s) = A/√2((s+w) / (s

^{^2}+w

^{^2}))

That's all I got so far. I am lost, some pointers would be greatly appreciated. [/B]

**P.S. Is there a proper way to insert equation when creating post?**