2.979   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 = 0.15847 (sec), leaf count = 37

\[\left \{\left \{y(x)\to x-\frac {1}{\sqrt {-2 \log (x)+c_1}}\right \},\left \{y(x)\to x+\frac {1}{\sqrt {-2 \log (x)+c_1}}\right \}\right \}\] Maple : cpu = 0.043 (sec), leaf count = 57

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