User:Cloudwu890202/Report2.11

Problem 11
I only solve part 3 of Problem 11, so I directly start here.

Subproblem 3
General non-homogenous L1-ODE-VC is defined as below:

When $$P(x)\neq 0$$ then ($$) can be rewritten as below

In this specific problem, the equation is given as

First, I rearrange this equation as below

As shown in lecture

and

To make the Integration more feasible, I can rearrange the new $$a_0(x)$$ as below

the new $$b(x)$$ as below

Thus

Then