2.319   ODE No. 319

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

\[ \left (7 \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^3+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})-5 \text {Global$\grave { }$x}\right ) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})^4-5 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.0230969 (sec), leaf count = 302

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,1\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,2\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,3\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,4\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,5\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,6\right ]\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Root}\left [10 \text {$\#$1}^7 \text {Global$\grave { }$x}+2 \text {$\#$1}^5-100 \text {$\#$1}^4 \text {Global$\grave { }$x}-25 \text {$\#$1}^2+250 \text {$\#$1} \text {Global$\grave { }$x}-10 c_1\& ,7\right ]\right \}\right \}\]

Maple : cpu = 0.036 (sec), leaf count = 33

\[ \left \{ x-{\frac {1}{y \left ( x \right ) \left ( \left ( y \left ( x \right ) \right ) ^{3}-5 \right ) ^{2}} \left ( -{\frac { \left ( y \left ( x \right ) \right ) ^{5}}{5}}+{\frac {5\, \left ( y \left ( x \right ) \right ) ^{2}}{2}}+{\it \_C1} \right ) }=0 \right \} \]