Solving Differential Equations with Mathematica's Solver
(continued from last page...)
Your efforts at using DSolve should have looked a little like this:
DSolve[2x E^(x^2) == Sin[y]^2 Cos[y] y', y[x],x]
So what does it mean by this error message?
The error message is actually true. Look carefully! y[x] doesn't appear once in your equation! y by itself does, but not y[x]. So to fix the problem re-enter the command replacing all references to y by y[x], (including replacing y' by y'[x].) Go ahead, switch to Mathematica and do it now. Come back when it's finished.
Well that probably took a while to finish, but the final results should reveal three solutions. We now go on to make a few notes about the result...
 |
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. |