2.205   ODE No. 205

1. Problem in Latex
2. Mathematica input
3. Maple input

$$\frac{1}{4}(a^2-1)x+ay(x)+b{x}^n+y(x)y^{\prime }(x)=0$$ ✗ Mathematica : cpu = 16.0191 (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))