Why make it so hard? Having and we're done.
I understand that this requires integration by parts.
Find the function (for ) which satisfies the separable differential equation with the initial condition .
I've gotten to the point where
int y^2 dy = int (10+14x)/x dx
left side with y is straight forward, but the right side with x is ugly.
I made u = (10+14x) and dv = 1/x
du = 14 dx and v = ln(x)
after this i got something really ugly that i can't even type.
Please help me.