\[ \text {Global$\grave { }$f}\left (\text {Global$\grave { }$x}^{\text {Global$\grave { }$c}} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ) \left (\text {Global$\grave { }$b} \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$a}\right )-\text {Global$\grave { }$x}^{\text {Global$\grave { }$a}} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{\text {Global$\grave { }$b}} \left (\text {Global$\grave { }$c} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})\right )=0 \] ✗ Mathematica : cpu = 13.683 (sec), leaf count = 0 , could not solve
DSolve[-(Global`x^Global`a*Global`y[Global`x]^Global`b*(Global`c*Global`y[Global`x] + Global`x*Derivative[1][Global`y][Global`x])) + Global`f[Global`x^Global`c*Global`y[Global`x]]*(-Global`a + Global`b*Global`x*Derivative[1][Global`y][Global`x]) == 0, Global`y[Global`x], Global`x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(f(x^c*y(x))*(b*x*diff(y(x),x)-a)-x^a*y(x)^b*(x*diff(y(x),x)+c*y(x)) = 0,y(x))