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

(a) 250 dvðtÞ

dt

þ 2500vðtÞ ¼ 0; vð0Þ ¼ 50 V

(b)

dvðtÞ

dt

þ 300vðtÞ ¼ 600uðtÞ; vð0Þ ¼ 150 V