2.209   ODE No. 209

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

\[ y(x) y'(x)-\sqrt {a y(x)^2+b}=0 \] Mathematica : cpu = 0.133764 (sec), leaf count = 84

\[\left \{\left \{y(x)\to -\frac {\sqrt {a^2 x^2+2 a^2 c_1 x+a^2 c_1{}^2-b}}{\sqrt {a}}\right \},\left \{y(x)\to \frac {\sqrt {a^2 x^2+2 a^2 c_1 x+a^2 c_1{}^2-b}}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.012 (sec), leaf count = 21

\[\left \{c_{1}+x -\frac {\sqrt {a y \left (x \right )^{2}+b}}{a} = 0\right \}\]