2.297   ODE No. 297

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

\[ 2 x \left (5 x^2+y(x)^2\right ) y'(x)-x^2 y(x)+y(x)^3=0 \] Mathematica : cpu = 0.150092 (sec), leaf count = 216

\[\left \{\left \{y(x)\to \text {Root}\left [\frac {\text {$\#$1}^2 e^{3 c_1}}{x^{3/2}}-\text {$\#$1}^5+3 e^{3 c_1} \sqrt {x}\& ,1\right ]\right \},\left \{y(x)\to \text {Root}\left [\frac {\text {$\#$1}^2 e^{3 c_1}}{x^{3/2}}-\text {$\#$1}^5+3 e^{3 c_1} \sqrt {x}\& ,2\right ]\right \},\left \{y(x)\to \text {Root}\left [\frac {\text {$\#$1}^2 e^{3 c_1}}{x^{3/2}}-\text {$\#$1}^5+3 e^{3 c_1} \sqrt {x}\& ,3\right ]\right \},\left \{y(x)\to \text {Root}\left [\frac {\text {$\#$1}^2 e^{3 c_1}}{x^{3/2}}-\text {$\#$1}^5+3 e^{3 c_1} \sqrt {x}\& ,4\right ]\right \},\left \{y(x)\to \text {Root}\left [\frac {\text {$\#$1}^2 e^{3 c_1}}{x^{3/2}}-\text {$\#$1}^5+3 e^{3 c_1} \sqrt {x}\& ,5\right ]\right \}\right \}\] Maple : cpu = 0.322 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) = \left ( {\it RootOf} \left ( {x}^{9}{\it \_C1}\,{{\it \_Z}}^{45}-{{\it \_Z}}^{18}-6\,{{\it \_Z}}^{9}-9 \right ) \right ) ^{{\frac {9}{2}}}x \right \} \]