2.535   ODE No. 535

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

\[ 8 x y'(x)^3-12 y(x) y'(x)^2+9 y(x)=0 \] Mathematica : cpu = 0.0503043 (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 = 0.052 (sec), leaf count = 51

\[\left \{y \left (x \right ) = 0, y \left (x \right ) = -\frac {3 x}{2}, y \left (x \right ) = \frac {3 x}{2}, y \left (x \right ) = -\frac {\left (c_{1} \left (3 c_{1}+x \right )\right )^{\frac {3}{2}}}{3 c_{1}^{2}}, y \left (x \right ) = \frac {\left (c_{1} \left (3 c_{1}+x \right )\right )^{\frac {3}{2}}}{3 c_{1}^{2}}\right \}\]