\[ \frac {1}{4} \left (a^2-1\right ) x+a y(x)+b x^n+y(x) y'(x)=0 \] ✗ Mathematica : cpu = 15.5764 (sec), leaf count = 0 , could not solve
DSolve[((-1 + a^2)*x)/4 + b*x^n + a*y[x] + y[x]*Derivative[1][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(y(x)*diff(y(x),x)+a*y(x)+1/4*(a^2-1)*x+b*x^n = 0,y(x))