Solve the differential equation (x + 1)dy/dx = 2xy, given that y(2) = 3. ​

Question

Solve the differential equation (x + 1)\(\frac{dy}{dx}\) = 2xy, given that y(2) = 3.

Answer 1

Given:

(x + 1)\(\frac{dy}{dx}\) = 2xy

For x = 2 and y = 3, we have, 

c = 3log3 – 4 

Hence, the particular solution is,

⇒ y(x + 1)² = 27e^2x-4