2.1675   ODE No. 1675

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

$$x^k(-h(x^{k}y(x),ky(x)+x{y}^{\prime }(x)))+(a+1)x{y}^{\prime }(x)+x^2{y}^{″}(x)=0$$ ✗ Mathematica : cpu = 3.49729 (sec), leaf count = 0 , could not solve

DSolve[-(x^k*h[x^k*y[x], k*y[x] + x*Derivative[1][y][x]]) + (1 + a)*x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(x^2*diff(diff(y(x),x),x)+(a+1)*x*diff(y(x),x)-x^k*h(x^k*y(x),x*diff(y(x),x)+k*y(x))=0,y(x))