\[ h(x,y(x)) \left (y'(x)-\frac {y(x)}{x}\right )^a+y''(x)=0 \] ✗ Mathematica : cpu = 2.60542 (sec), leaf count = 0 , could not solve
DSolve[h[x, y[x]]*(-(y[x]/x) + Derivative[1][y][x])^a + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)+(diff(y(x),x)-y(x)/x)^a*h(x,y(x))=0,y(x))