Solving Differential Equations
with Mathematica's Solver
2x ex2 dx = sin2y cosy dy
(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]
DSolve::dvnoarg: The function y appears with no arguments. >>
So what does it mean by the error message: DSolve::dvnoarg: The function y appears with no arguments.?
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...
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