Solving Differential Equations with Mathematica's Solver

(continued from听last page...)

2xex2dx听=听sin2y听cosydy

Your efforts at using听DSolve听should have looked a little like this:

DSolve[2x E^(x^2) == Sin[y]^2 Cos[y] y', y[x],x]
DSolve Error Message

So what does it mean by this error message?

The error message is actually true. Look carefully!听y[x]听doesn't appear once in your equation!听y听by itself does, but not听y[x]. So to fix the problem re-enter the command replacing all references to听y听by听y[x], (including replacing听y'听by听y'[x].) Go ahead, switch to听Mathematica听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听few notes about the result...

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.