Question

find the general solution of the differential equation, dy/dx=1/(xy^2)

Answer 1

use seperation of variables...

Answer 2

so the question becomes
y^ (dy) =dx/x
now integrate both sides...

Answer 3

All you have to do is get the x and y parts separated onto either side using a little bit of algebra. Treat the "dx" and "dy" as individual things and you are basically making two integrals to solve.

for example, dy/dx=x will become dy=xdx and then integrate both sides to get y=.5x^2+C.