2.47   ODE No. 47

\[ -a \left (x^n-x\right ) y(x)^3+y'(x)-y(x)^2=0 \] Mathematica : cpu = 25.8865 (sec), leaf count = 0

DSolve[-y[x]^2 - a*(-x + x^n)*y[x]^3 + Derivative[1][y][x] == 0,y[x],x]
 

, could not solve

DSolve[-y[x]^2 - a*(-x + x^n)*y[x]^3 + Derivative[1][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(y(x),x)-a*(x^n-x)*y(x)^3-y(x)^2 = 0,y(x))
 

, could not solve

dsolve(diff(y(x),x)-a*(x^n-x)*y(x)^3-y(x)^2 = 0,y(x))