Use the Laplace transformation to find the v(t) that satisfies the following second-order differential equation: d2vt dt2

Use the Laplace transformation to find the v(t) that satisfies the following second-order differential equation:

d2vðtÞ

dt2

þ 50 dvðtÞ

d t

þ 400 vðtÞ ¼ 0; vð0Þ ¼ 0 and dvð0Þ

dt

¼ 1000 V/s