ODE No. 634

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

\[ y'(x)=\frac {x^5 \sqrt {4 x^2 y(x)+1}+\frac {1}{2}}{x^3} \] Mathematica : cpu = 0.179013 (sec), leaf count = 33

\[\left \{\left \{y(x)\to \frac {-8 c_1 x^6+16 c_1^2 x^2+x^{10}-4}{16 x^2}\right \}\right \}\] Maple : cpu = 0.252 (sec), leaf count = 26

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