2.1844   ODE No. 1844

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

$$4y(x{)}^2{y}^{(3)}(x)+15y^{\prime }(x{)}^3-18y(x)y^{\prime }(x)y^{″}(x)=0$$ ✗ Mathematica : cpu = 0.0853887 (sec), leaf count = 0 , could not solve

DSolve[15*Derivative[1][y][x]^3 - 18*y[x]*Derivative[1][y][x]*Derivative[2][y][x] + 4*y[x]^2*Derivative[3][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.292 (sec), leaf count = 17

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{3}}{{(-4+{(\mathit{\_}\mathit{C}\mathit{2}+x)}^2\mathit{\_}\mathit{C}\mathit{1})}^2}\}$$