Chapter 1.4, Problem 5E

In Exercises 5−10, use Euler’s method with the given step size $\Delta t$ to approximate the solution to the given initial-value problem over the time interval specified. Your answer should include a table of the approximate values of the dependent variable. It should also include a sketch of the graph of the approximate solution.

5. $\frac{dw}{dt}=\left(3-w\right)\left(w+1\right),w\left(0\right)=4,0\le t\le 5,\Delta t=1.0$