Chapter 1.1, Problem 13P

a.

To determine

To verify: The solution of $y^{\prime }=y-y^2$ is $y=\frac{1}{1+c{e}^{-x}},y\left(0\right)=0.25$.

b.

To determine

The particular solution of $y^{\prime }=y-y^2$ from $y=\frac{1}{1+c{e}^{-x}},y\left(0\right)=0.25$.

c.

To determine

To graph: The solution of $y^{\prime }=y-y^2$.