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 = 0.104542 (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 = 0.01 (sec), leaf count = 21

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