Chapter 1.3, Problem 1E

In Exercises 1-6, sketch the slope fields for the differential equation as follows:
(a) Pick a few points (t, y) with both $-2\le t\le 2$ and $-2\le y\le 2$ andplot the associated slope marks without the use of technology.
(b) Use HPGSolver to check these individual slope marks.
(c) Make a more detailed drawing of the slope field and then use HPGSolver to confirm your answer.
For more details about HPGSolver and other programs that are pan of the DETools package, see the description of DEToo1s inside the front cover of this book.

1. $\frac{dy}{dt}=t^2+t$