posted by Jasmine .
dy/dx = 4xy^2
I need to find the integral of that. So I separate the variables and have 1/y^2 dy = 4x dx. Where do I go from here?
y^-2 dy = 4 x dx
-1 y^-1 + c = 2 x^2 the important step
-1/y + c = 2 x^2
-1 + c y = 2 x^2 y
y (2 x^2 -c) = -1
y = -1/ (2 x^2 -c) you can write that several ways