2.1846   ODE No. 1846

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

✓ Mathematica : cpu = 0.0445675 (sec), leaf count = 51

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

\[\left \{\{y(x)\to c_1\},\left \{y(x)\to \sqrt {\frac {2}{3}} e^{-\sqrt {\frac {3}{2}} x} \left (c_1 e^{\sqrt {6} x}-c_2\right )+c_3\right \}\right \}\]

✓ Maple : cpu = 0.01 (sec), leaf count = 28

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

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