Solving Differential Equations with Mathematica's Solver
(continued from听last page...)
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]
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...