Solving Differential Equations with Mathematica's Solver
(continued fromÌýlast page...)
Your efforts at usingÌýDSolveÌýshould 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!Ìýy[x]Ìýdoesn't appear once in your equation!ÌýyÌýby itself does, but notÌýy[x]. So to fix the problem re-enter the command replacing all references toÌýyÌýbyÌýy[x], (including replacingÌýy'ÌýbyÌýy'[x].) Go ahead, switch toÌýMathematicaÌýand 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 aÌýfew notes about the result...
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