ODE No. 205

\[ \frac {1}{4} \left (a^2-1\right ) x+a y(x)+b x^n+y(x) y'(x)=0 \] Mathematica : cpu = 14.2981 (sec), leaf count = 0

DSolve[((-1 + a^2)*x)/4 + b*x^n + a*y[x] + y[x]*Derivative[1][y][x] == 0,y[x],x]
 

, 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

dsolve(y(x)*diff(y(x),x)+a*y(x)+1/4*(a^2-1)*x+b*x^n = 0,y(x))
 

, 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))