Answer to Question #105775 in Differential Equations for Simon

Question

Solve the differential equation
dy/dx=- 2xy²

Answer 1

We use the variable separable method for this question

dy/dx=-2xy²

dy/y²=-2xdx

Integrating both sides, we get

-1/y+c=-x²

1/y=x²+c

Thus, y(x)=1/(x²+c) is the general solution to the differential equation