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
First, we need to rewrite the given differential equation in the standard form of a linear differential equation:
\[ \frac{dy}{dx} + P(x) y = Q(x) \]
Starting with the original equation:
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