Find the v(t) that satisfies the following differential equation and initial conditions: d2vt dt2 10 dvt

Find the v(t) that satisfies the following differential equation and initial conditions:

d2vðtÞ

dt2

þ 10 dvðtÞ

dt

þ 125vðtÞ ¼ 250 uðtÞ; vð0Þ ¼ 10V;

dvð0Þ

dt

¼ 25 V/s