The original diff eq is
dx/dy = b(a-x)^1/2 - c(a-x)^1/2 * (x-d)^3/2
Separating variables results in my original posted equation
dy = dx/((a-x)^1/2 * (b-c(x-d)^3/2))
I have tried the substitution, u = (a-x)^1/2, x = a-u^2, dx = -2udu. Which results in
dy = -2dx/(b-c((-u^2+a)-d)^3/2)
Any...
I've separated the variables of this differential equation and end up with
dx/((a-x)^(1/2)*(b-c(x-d)^3/2)). I've tried finding the integral of this with non-trig substitution methods but cannot solve it. Any help would be appreciated.