The Integrating Factor of the differential equation `x(dy)/(dx)-y=2x^2`is(A) `e^(-x)` (B) `e^(-y)` (C) `1/x` (D) x

Explanation

To find the integrating factor of the differential equation \( x \frac{dy}{dx} - y = 2x^2 \), we will follow these steps:

### Step 1: Rewrite the differential equation in standard form
The given equation is:
\[ x \frac{dy}{dx} - y = 2x^2 \]
We can rearrange it to the standard linear form:
...