2.870   ODE No. 870

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

\[ y'(x)=\frac {e^{\frac {y(x)}{x}} \left (x^4+x^3+x e^{-\frac {y(x)}{x}}+e^{-\frac {y(x)}{x}} y(x)+x\right )}{x} \] Mathematica : cpu = 1.4857 (sec), leaf count = 35

\[\left \{\left \{y(x)\to -x \log \left (\frac {-\frac {x^4}{4}-\frac {x^3}{3}-x-c_1}{x}\right )\right \}\right \}\] Maple : cpu = 0.822 (sec), leaf count = 30

\[ \left \{ y \left ( x \right ) =-\ln \left ( -{\frac {3\,{x}^{4}+4\,{x}^{3}+12\,{\it \_C1}+12\,x}{12\,x}} \right ) x \right \} \]