Chapter 6.2, Problem 15E

(a)

To determine

To graph: Two approximate solutions of the differential equation $\frac{dy}{dx}=x\left(6-y\right)$ and the passes through the point is $\left(0,0\right)$.

(b)

To determine

To calculate: The differential equation $\frac{dy}{dx}=x\left(6-y\right)$ point whose solution is given is $\left(0,0\right)$.

Plot the graph of the solution using graphing utility and provide comparison of the result with that of part (a)