Chapter 6.5, Problem 47E

a)

To determine

To graph: The slope field for the differential equation, $\frac{dy}{dx}-\frac{1}{x}y=x^2$ for $x>0$ using graphing utility.

(b)

To determine

The particular solution of the differential equation, $\frac{dy}{dx}-\frac{1}{x}y=x^2$, passing through the points $\left(-2,4\right)$ and $\left(2,8\right)$.

(c)

To determine

To graph: The particular solutions on the slope field obtained in part (a) using graphing utility.