Solving differential equations

[wezzo62]

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 . . . .

 

[dane502]

Try using separation of the variables.

 

[Disconnected]

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.