Preliminaries.

Exercise 1. Use pencil and paper techniques and find the general solution to the D. E.
.

Exercise 2. Use pencil and paper techniques and find the general solution to the I. V. P.
.

Exercise 3. Use pencil and paper techniques and find the general solution to the I. V. P.
.

Computer Lab Work.

First load Mathematica's Plot Vector Field subroutine.

Exercise 4. Use Mathematica to find the general solution to the D. E.
.

Exercise 5. Use Mathematica to find the general solution to the I. V. P.
.

Exercise 6. Use Mathematica to find the general solution to the I. V. P.
.

Exercise 7. Use Mathematica's general solution and substitute values C = 0, 1, 2.
Plot the solutions over the interval .

Exercise 8. Use Mathematica's general solution and make a table of functions
for the values C = -10, -9, ... , -2, -1, 0, 1, 2, ... ,10.
Plot the solutions over the interval .

Exercise 9. Use Mathematica's Plot Vector Field subroutine and plot the vector slope field for the D. E.
.

Exercise 10. Plot the solutions you found in 8 and the vector slope field in 9.

Solutions.

Return to the Differential Equations Project

Return to the Numerical Analysis Project

Return to the Complex Analysis Project

(c) John H. Mathews, 1998