# Solving differential equations

Find the general solution to: dy/dx = 3x2y

I tried saying u = 3x2 and v = y
then du/dv = 6x and dv/dy = 1

and get 3x2 + 6xy but now i think iv gone completely the wrong way around this . . . .

Try using separation of the variables.

Disconnected
Gold Member
Find the general solution to: dy/dx = 3x2y

I tried saying u = 3x2 and v = y
then du/dv = 6x and dv/dy = 1

and get 3x2 + 6xy but now i think iv gone completely the wrong way around this . . . .

You can swing the y over to the left hand side (LHS) of the equation, and the dx to the RHS.
This gives you two integrals. Do them, and see what happens.