2.872   ODE No. 872

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

\[ y'(x)=\frac {14 x^{7/2}+\frac {12 x^6}{5}-6 x^3 y(x)-6 x^3-5 \sqrt {x} y(x)+10 x-5 \sqrt {x}-5}{x \left (2 x^3-5 y(x)+10 \sqrt {x}-5\right )} \] Mathematica : cpu = 0.0443797 (sec), leaf count = 92

\[\left \{\left \{y(x)\to \sqrt {-\frac {1}{x}} \sqrt {-x \left (c_1+2 \log (x)+1\right )}+\frac {2 x^3}{5}+2 \sqrt {x}-1\right \},\left \{y(x)\to \left (-\frac {1}{x}\right )^{3/2} x \sqrt {-x \left (c_1+2 \log (x)+1\right )}+\frac {2 x^3}{5}+2 \sqrt {x}-1\right \}\right \}\]

Maple : cpu = 0.072 (sec), leaf count = 49

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