\[ y^{(4)}(x) y'(x)-y^{(3)}(x) y''(x)+y^{(3)}(x) y'(x)^3=0 \] ✗ Mathematica : cpu = 0.147269 (sec), leaf count = 0 , could not solve
DSolve[Derivative[1][y][x]^3*Derivative[3][y][x] - Derivative[2][y][x]*Derivative[3][y][x] + Derivative[1][y][x]*Derivative[4][y][x] == 0, y[x], x]
✓ Maple : cpu = 1.645 (sec), leaf count = 164
\[\left \{y \left (x \right ) = \mathit {ODESolStruc} \left (c_{3}+\int \frac {\textit {\_j} \left (\textit {\_h} \right ) {\mathrm e}^{-c_{2}+\int -\textit {\_j} \left (\textit {\_h} \right )d \textit {\_h}}}{\textit {\_h}}d \textit {\_h} , \left [\left \{\frac {d}{d \textit {\_h}}\textit {\_j} \left (\textit {\_h} \right )=\frac {\left (12 \textit {\_h}^{2} \textit {\_j} \left (\textit {\_h} \right )^{2}+3 \textit {\_h} \textit {\_j} \left (\textit {\_h} \right )^{2}+10 \textit {\_h} \textit {\_j} \left (\textit {\_h} \right )+\textit {\_j} \left (\textit {\_h} \right )+1\right ) \textit {\_j} \left (\textit {\_h} \right )}{\textit {\_h}}\right \}, \left \{\textit {\_h} =\frac {\frac {d^{2}}{d x^{2}}y \left (x \right )}{\left (\frac {d}{d x}y \left (x \right )\right )^{3}}, \textit {\_j} \left (\textit {\_h} \right )=\frac {\left (\frac {d^{2}}{d x^{2}}y \left (x \right )\right ) \left (\frac {d}{d x}y \left (x \right )\right )^{3}}{\left (\frac {d^{3}}{d x^{3}}y \left (x \right )\right ) \left (\frac {d}{d x}y \left (x \right )\right )-3 \left (\frac {d^{2}}{d x^{2}}y \left (x \right )\right )^{2}}\right \}, \left \{x =c_{1}+\int \frac {\textit {\_j} \left (\textit {\_h} \right ) {\mathrm e}^{-2 c_{2}+\int -2 \textit {\_j} \left (\textit {\_h} \right )d \textit {\_h}}}{\textit {\_h}}d \textit {\_h} , y \left (x \right )=c_{3}+\int \frac {\textit {\_j} \left (\textit {\_h} \right ) {\mathrm e}^{-c_{2}+\int -\textit {\_j} \left (\textit {\_h} \right )d \textit {\_h}}}{\textit {\_h}}d \textit {\_h} \right \}\right ]\right )\right \}\]