2.1726   ODE No. 1726

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

\[ (x-y(x)) y''(x)-h\left (y'(x)\right )=0 \] Mathematica : cpu = 0.376224 (sec), leaf count = 82

\[\text {Solve}\left [\left \{x=\int \frac {\exp \left (-\int _1^{K[4]}\frac {K[3]-1}{h(K[3])}dK[3]-c_1\right )}{h(K[4])} \, dK[4]+c_2,y(x)=x-\exp \left (-\int _1^{K[4]}\frac {K[3]-1}{h(K[3])}dK[3]-c_1\right )\right \},\{y(x),K[4]\}\right ]\] Maple : cpu = 0.232 (sec), leaf count = 39

\[\left \{y \left (x \right ) = x +\RootOf \left (c_{2}-x +\int _{}^{\textit {\_Z}}\frac {1}{\RootOf \left (c_{1}+\int _{}^{\textit {\_Z}}\frac {\textit {\_a} -1}{h \left (\textit {\_a} \right )}d \textit {\_a} +\ln \left (-\textit {\_g} \right )\right )-1}d \textit {\_g} \right )\right \}\]