Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Step-by-step explanation:

Consider linear differential equation

It's solution is of form where I.F is integrating factor given by .

Given:

We can write this equation as

On comparing this equation with , we get

I.F =      { formula used: }

we get solution as follows:

{ formula used: }

Applying condition:

So, we get solution as :

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign