Solve the separable differential equation dx/dt = 9/x and find the particular solution satisfying the initial condition x(0) = 5 . x(t) =

Answer 1

∫xdx = 9∫∫dt; x²/2 = 9t + C;; 25/2 = C; x²/2 = 5t + 12.5; x(t) = ±(19t + 25)^1/2