\[ -a y(x)^3-b x^{3/2}+y'(x)=0 \] ✗ Mathematica : cpu = 8.55533 (sec), leaf count = 0 , could not solve
DSolve[-(b*x^(3/2)) - a*y[x]^3 + Derivative[1][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(y(x),x)-a*y(x)^3-b*x^(3/2) = 0,y(x))