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These are answers submitted by DJJerome1976

As stated above, dsolve() tries to obtained an explicitly defined solution (general or particular) by default. To force Maple to return an implicityly defined solution, you can just add the "implicit" option available in dsolve():

> dsolve(exp(x+1)*tan(y(x))+cos(y(x))*(diff(y(x), x)) = 0, y(x), implicit);

 exp(x) + exp(-1) cos(y(x)) + exp(-1) ln(csc(y(x)) - cot(y(x))) + _C1 = 0

I like your two procedures. Thanks a lot for your good ideas.

I like both options, but prefer the first one. Thanks, again!

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