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ODE's/Electrical Eng'g: Find v(t) for the RLC circuit in this picture: given v(0+) = 12 V, and i_L(0+) = 30 mA.

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Using what I've learned in my ODE class, solving the 2nd order differential equation v'' + (1/RC)v' + (1/LC)v = 0 for this situation gives a different solution from my textbook's solution for some reason..
This is what I did:*10%5E-6%29*200%29%29x%27+%2B+%281%2F%28200*50*10%5E-3%29%29x+%3D+0%2C+x%27%280%29+%3D+-450000%2C+x%280%29+%3D+12
i was doing the same :P

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But the book has v(t) = -14e^(-5000t) + 26e^(-20000t) though..
L=?, C=?
L = 50mH, C = 0.2uF, and R = 200 Ohms as shown on the picture*10%5E-6%29*200%29%29x%27+%2B+%281%2F%28%280.2*10%5E-6%29*50*10%5E-3%29%29x+%3D+0%2C+x%27%280%29+%3D+-450000%2C+x%280%29+%3D+12
you messed up C on the last
oh lol thank you.. I did LR instead of LC haha thanks

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