This ODE turns out to be a simple separable ODE. With one solution, if the ODE is rewritten.
But in its original form, Maple dsolve gives 6 complicated looking solutions with complex numbers in some of them. Even though all 6 solutions are valid.
Any one knows why Maple did that and not give the one simple solution instead?
I used isolate to solve for y' from the original ODE. Verfiied that only one solution exist. The ODE then became y'(x)= 3*y(x)/(2*x). Which by uniqueness theorem, should have one unique solution in some region in the RHS or in some region in the LHS that does not inculde x=0 ?
Just wondering what is going on, and why Maple did not give same simpler solution, so I can learn something new. That is all.