# Thread: Find an explicit particular solution

1. ## Find an explicit particular solution

guys i am having hard time starting out with this problem. help me slove this..

Find an explicit particular solution of the initial value problem:
x dy/dx - y = (2x^2)y, y(1) = 1.

2. Originally Posted by DMDil
guys i am having hard time starting out with this problem. help me slove this..

Find an explicit particular solution of the initial value problem:
x dy/dx - y = (2x^2)y, y(1) = 1.
$x \cdot \frac{dy}{dx} - y = 2x^2y$

$x \cdot \frac{dy}{dx} = 2x^2y + y$

$x \cdot \frac{dy}{dx} = y(2x^2 + 1)$

$\frac{dy}{y} = \left(2x + \frac{1}{x}\right) \, dx$

finish up