Question

Let dx/dt + ax = 0 and dy/dt + by = 0 where y(0) = 1, x(0) = 2, and x(t) = y(t), then t is

(1) \(\frac {\ln 3}{a-b}\)

(2) \(\frac {\ln 2}{b-a}\)

(3) \(\frac {\ln 2}{a-b}\)

(4) \(\frac {\ln 3}{b-a}\)

Answer 1

Correct option is (3) \(\frac {\ln 2}{a-b}\)