Question

Find the particular solution of e^dy/dx = x + 1, given that y = 3, when x = 0.

Answer 1

Given e^dy/dx = x + 1

Find: Find the particular solution of this differential equation.

Integrating both sides

Using Integration by parts

Put C = 3 in equation (i)

Hence, The Solution is y = (x + 1) log |x + 1| - x + 3.