Math Help - verify the solution of the differential equation

1. verify the solution of the differential equation

Solution: x^2 + y^2 = Cy

Differential Equation: y' = 2xy/(x^2 - y^2)

2. Originally Posted by algebra2
Solution: x^2 + y^2 = Cy

Differential Equation: y' = 2xy/(x^2 - y^2)
find y' in the first equation and show that you get the expression shown in the second eqaution

3. Cy = x^2 + y^2
y' = 2x + 2y

?

4. Originally Posted by algebra2
Cy = x^2 + y^2
y' = 2x + 2y

?
no. differentiate implicitly

or solve for y in terms of x before differentiating