Chapter 1.1, Problem 44P

(a)

Program Plan Intro

Program Description: Purpose of problemis to sketch the graphs of solutions of the differential equation $\frac{dx}{dt}=k{x}^2$ with several typical positive values of $x\left(0\right)$ .

(b)

Program Plan Intro

Program Description: Purpose of problem is to sketch the graph of solutions of the differential equation $\frac{dx}{dt}=k{x}^2$ with several typical positive values of $x\left(0\right)$ if the constant $k$ is negative.