11.41: A.6.3- Section 6.3 Answers

1. \(I=e^{-15t}\left(2\cos 5\sqrt{15t}-\frac{6}{\sqrt{31}}\sin 5\sqrt{31}t \right)\)

2. \(I = e^{−20t} (2 \cos 40t − 101 \sin 40t)\)

3. \(I=-\frac{200}{3}e^{-10t}\sin 30t\)

4. \(I = −10e^{−30t} (\cos 40t + 18 \sin 40t)\)

5. \(I = −e^{−40t} (2 \cos 30t − 86 \sin 30t)\)

6. \(I_{p}=-\frac{1}{3}(\cos 10t+2\sin 10t)\)

7. \(I_{p}=\frac{20}{37}(\cos 25t-6\sin 25t)\)

8. \(I_{p} = \frac{3}{13} (8 \cos 50t − \sin 50t)\)

9. \(I_{p} = \frac{20}{123} (17 \sin 100t − 11 \cos 100t)\)

10. \(I_{p} = − \frac{45}{52} (\cos 30t + 8 \sin 30t)\)

12. \(\omega _{0}=1/\sqrt{LC}\quad \text{maximum amplitude }=\sqrt{U^{2}+V^{2}}/R\)