2.641   ODE No. 641

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

\[ y'(x)=\frac {x^4 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] Mathematica : cpu = 0.198573 (sec), leaf count = 35

\[\left \{\left \{y(x)\to \frac {4 x^8-24 c_1 x^5+36 c_1{}^2 x^2-9}{36 x^2}\right \}\right \}\] Maple : cpu = 0.455 (sec), leaf count = 26

\[ \left \{ {\it \_C1}+{\frac {2\,{x}^{3}}{3}}-{\frac {1}{x}\sqrt {4\,{x}^{2}y \left ( x \right ) +1}}=0 \right \} \]