#### Question

verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation

y = x^{2} + 2x + C : y′ – 2x – 2 = 0

#### Solution

y = x^{2} + 2x + C

Differentiating both sides of this equation with respect to *x*, we get:

Hence, the given function is the solution of the corresponding differential equation.

Is there an error in this question or solution?

Solution Verify that the Given Functions (Explicit Or Implicit) is a Solution of the Corresponding Differential Equation Y = X2 + 2x + C : Y′ – 2x – 2 = 0 Concept: General and Particular Solutions of a Differential Equation.