Question

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation:

y = x² + 2x + C  :  y′ – 2x – 2 = 0

Answer 1

y = x² + 2x + C

`dy/dx` = 2x + 2

⇒ `dy/dx` - 2x - 2 = 0

or y’ - 2x - 2 = 0

The given function is the solution of the given differential equation.