2.535   ODE No. 535

\[ 8 x y'(x)^3-12 y(x) y'(x)^2+9 y(x)=0 \] Mathematica : cpu = 0.0457137 (sec), leaf count = 49


\[\left \{\left \{y(x)\to -\frac {(x+3 c_1){}^{3/2}}{3 \sqrt {c_1}}\right \},\left \{y(x)\to \frac {(x+3 c_1){}^{3/2}}{3 \sqrt {c_1}}\right \}\right \}\] Maple : cpu = 0.056 (sec), leaf count = 51


\[y \relax (x ) = -\frac {3 x}{2}\]