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Verify a function is a solution.


New member
Nov 4, 2013
Verify that x^2 + y^2 = cy is a solution of dy/dx = (2xy)/(x^2-y^2) where c is a constant.

I don't know how i should start this problem. Ive done a couple DE questions but nothing like this.. Thanks


Indicium Physicus
Staff member
Jan 26, 2012
One trick I learned (from Jester) when doing these problems is to eliminate the constant $c$, whenever possible, for first-order. To do that, simply solve for the constant and then take the necessary derivative. Your goal here is to plug the function and its derivative into the DE and show that you get equality.


Well-known member
Nov 26, 2013