Need help with this guys....
Solve the differential equation dy/dx = 4xy^2 and write the general solution in the form y^r + kx^n = C where r, k and n are numbers and C is the arbitary constant.
In this question maple has given me a different set of variables that doesnt work out so nicely.
dy/dx = -5*x*y^4
int(y^-4)dy = int (-5*x) dx
1/3y^-3 - 5/2x^2 = C
So when asked for the form y^r + kx^n = C, i have a 2nd constant before the y, namely 1/3, that is damaging to the answer. How could i have done this euation differently to avoid this error?