\[ y'(x) \left (\sum _{\nu =1}^p y(x)^{\nu } f(\nu )(x)\right )-\sum _{\nu =1}^q y(x)^{\nu } g(\nu )(x)=0 \] ✗ Mathematica : cpu = 55.1581 (sec), leaf count = 0 , could not solve
DSolve[-Sum[y[x]^nu*g[nu][x], {nu, 1, q}] + Sum[y[x]^nu*f[nu][x], {nu, 1, p}]*Derivative[1][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x)*sum(f[nu](x)*y(x)^nu,nu = 1 .. p)-sum(g[nu](x)*y(x)^nu,nu = 1 .. q) = 0,y(x))