Solving Differential Equations with Mathematica's Solver

(continued from last page...)

Have Mathematica solve each of the following differential equations. (Hint: One of the solutions is implicit.)

  1. dy/dx = (sec2 y)/(1 + x2)

  2. dy/dx = (1 + y2) tan x

  3. (2xy - sec2 x)dx + (x2 + 2y)dy = 0

  4. dy/dx = x2 e- 4x - 4y

  5. (x2 + y2)dx + 2xy dy = 0

Jump back here to your browser when you are finished solving the above problems.

Mathematica LogoClick on the button provided on the left to switch to a fresh Mathematica document with the form of these problems already entered for you. Come back here to your browser when you are finished.

Mathematica LogoWelcome back! You may be wondering how well you did. Click on the icon on the left to see the answers you should have gotten. (Only the answers are given, so if you don't match our results you need to figure out what you did wrong.)

You are at last finished with this laboratory assignment. Remember that there will be a lab exam covering this material. If you feel that you need the practice you are welcome to start over if you wish. You may also go back to the ODE Laboratories Home Page if you want to get to other laboratory assignments, etc.

Compass If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment.