\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \left (\sum _{\text {Global$\grave { }$nu}=1}^{\text {Global$\grave { }$p}} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{\text {Global$\grave { }$nu}} \text {Global$\grave { }$f}(\text {Global$\grave { }$nu})(\text {Global$\grave { }$x})\right )-\sum _{\text {Global$\grave { }$nu}=1}^{\text {Global$\grave { }$q}} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{\text {Global$\grave { }$nu}} \text {Global$\grave { }$g}(\text {Global$\grave { }$nu})(\text {Global$\grave { }$x})=0 \] ✗ Mathematica : cpu = 53.6504 (sec), leaf count = 0 , could not solve
DSolve[-Sum[Global`y[Global`x]^Global`nu*Global`g[Global`nu][Global`x], {Global`nu, 1, Global`q}] + Sum[Global`y[Global`x]^Global`nu*Global`f[Global`nu][Global`x], {Global`nu, 1, Global`p}]*Derivative[1][Global`y][Global`x] == 0, Global`y[Global`x], Global`x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , exception
time expired