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 = 1.74947 (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 = 0.708 (sec), leaf count = 30

\[\left \{y \left (x \right ) = -x \ln \left (-\frac {3 x^{4}+4 x^{3}+12 x +12 c_{1}}{12 x}\right )\right \}\]