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dq 1 + R +79- E(t). If L - 0.01 henry, R-0.1 ohm, C – 0.5 farad, and E(t) – 30 - t, (a) Find the general solution, q(t). 4:4e "cercs5) + (eé"simcsV5)+.0000 5t +|4.92

dq 1 + R +79- E(t). If L - 0.01 henry, R-0.1 ohm, C – 0.5 farad, and E(t) – 30 - t, (a) Find the general solution, q(t). 4:4e "cercs5) + (eé"simcsV5)+.0000 5t +|4.92

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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My question and answer is in the image.

For part a, could you please check if my answer is correct? I dont think it is as in part B my answers for C1 and C2 are really confusing. 

4. The following linear differential equation models the charge on the capacitor, q(t), at time t in an RLC series circuit:
Lq''+Rq'+(1/C)q = E(t). If L = 0.01 henry, R = 0.1 ohm, C = 0.5 farad, and E(t) = 30 −t,

a) Find the general solution, q(t).

for this I got q = C1e-5tcos(5(sqrt(7)))+C2e-5tsin(5(sqrt(7)))+.000005t+14.999

(b) Find the solution that satisfies the initial conditions q(0) = 0, q′(0) = 0.

4. The following lincar differential cquation models the charge on the capacitor, q(t), at time t in an RLC scrics circuit: 1 L- dt2 + R- dt bp +79- E(t). If L – 0.01 henry, R- 0.1 ohm, C – 0.5 farad, and E(t) – 30 - t, (a) Find the general solution, q(t). 4:4e "c-rcs5) + (gé" sincsr5)+.0000 5t +|4.999 (b) Find the solution that satisfics the initial conditions q(0) – 0, q(0) – 0.
Transcribed Image Text:4. The following lincar differential cquation models the charge on the capacitor, q(t), at time t in an RLC scrics circuit: 1 L- dt2 + R- dt bp +79- E(t). If L – 0.01 henry, R- 0.1 ohm, C – 0.5 farad, and E(t) – 30 - t, (a) Find the general solution, q(t). 4:4e "c-rcs5) + (gé" sincsr5)+.0000 5t +|4.999 (b) Find the solution that satisfics the initial conditions q(0) – 0, q(0) – 0.
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