ODE No. 1852

\[ 3 y^{(4)}(x) y''(x)-5 y^{(3)}(x)^2=0 \]

✓ Mathematica : cpu = 0.127514 (sec), leaf count = 28

DSolve[-5*Derivative[3][y][x]^2 + 3*Derivative[2][y][x]*Derivative[4][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to c_2 \left (-\sqrt {2 x+3 c_1}\right )+c_4 x+c_3\right \}\right \}\]

✓ Maple : cpu = 0.311 (sec), leaf count = 28

dsolve(3*diff(diff(y(x),x),x)*diff(diff(diff(diff(y(x),x),x),x),x)-5*diff(diff(diff(y(x),x),x),x)^2=0,y(x))

\[y \left (x \right ) = 3 \left (c_{2} +x \right ) \sqrt {6}\, c_{1} \sqrt {-\frac {c_{1}}{c_{2} +x}}+c_{3} x +c_{4}\]