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 = 0.708509 (sec), leaf count = 75

\[\text {Solve}\left [\left \{x=\int \frac {\exp \left (-\int _1^{\text {K$\$$17040045}} \frac {K[3]-1}{h(K[3])} \, dK[3]-c_1\right )}{h(\text {K$\$$17040045})} \, d\text {K$\$$17040045}+c_2,y(x)=x-\exp \left (-\int _1^{\text {K$\$$17040045}} \frac {K[3]-1}{h(K[3])} \, dK[3]-c_1\right )\right \},\{y(x),\text {K$\$$17040045}\}\right ]\] Maple : cpu = 0.132 (sec), leaf count = 39

\[ \left \{ y \left ( x \right ) =x+{\it RootOf} \left ( -x+\int ^{{\it \_Z}}\! \left ( -1+{\it RootOf} \left ( \int ^{{\it \_Z}}\!{\frac {{\it \_a}-1}{h \left ( {\it \_a} \right ) }}{d{\it \_a}}+\ln \left ( -{\it \_g} \right ) +{\it \_C1} \right ) \right ) ^{-1}{d{\it \_g}}+{\it \_C2} \right ) \right \} \]