Find the general solution to the differential equation:

Question

dy/dx= 4xy

Answer 1

rearrange problem to look like this dy/y=4xdx and then integrate directly to get lny=2x² +C. Solving for y you get y=e^{2x^2+C} and can be re-arranged to look like y= ke^{2x^2} where k = a constant = y(x=0)