2.1845   ODE No. 1845

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

$$9y(x{)}^2{y}^{(3)}(x)+40y^{\prime }(x{)}^3-45y(x)y^{\prime }(x)y^{″}(x)=0$$ ✗ Mathematica : cpu = 0.0746648 (sec), leaf count = 0 , could not solve

DSolve[40*Derivative[1][y][x]^3 - 45*y[x]*Derivative[1][y][x]*Derivative[2][y][x] + 9*y[x]^2*Derivative[3][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.609 (sec), leaf count = 22

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{3}{({\mathit{\_}\mathit{C}\mathit{2}}^2+2\mathit{\_}\mathit{C}\mathit{2}x+x^2-9\mathit{\_}\mathit{C}\mathit{1})}^{-\frac{3}{2}}\}$$