ODE No. 979

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

\[ y'(x)=\frac {-x^3+3 x^2 y(x)-3 x y(x)^2+y(x)^3+x}{x} \] Mathematica : cpu = 0.0109437 (sec), leaf count = 37

\[\left \{\left \{y(x)\to x-\frac {1}{\sqrt {c_1-2 \log (x)}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 \log (x)}}+x\right \}\right \}\] Maple : cpu = 0.066 (sec), leaf count = 57

\[ \left \{ y \left ( x \right ) ={1 \left ( x\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }-1 \right ) {\frac {1}{\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }}}},y \left ( x \right ) ={1 \left ( x\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }+1 \right ) {\frac {1}{\sqrt {2\,{\it \_C1}-2\,\ln \left ( x \right ) }}}} \right \} \]