Q4. In each of the following, show that the given function is a solution of the corresponding differential equation:

(i) y = x² + 2x + C : y' - 2x - 2 = 0
(ii) y = Ae^-x : y' + y = 0
(iii) y= √1 + x² : (1 + x²) y' = xy
(iv) y = ae^bx:y"-b²y = 0.

Solution