2.407   ODE No. 407

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

\[ x y'(x)^2-y(x)=0 \] Mathematica : cpu = 0.0355723 (sec), leaf count = 51

\[\left \{\left \{y(x)\to \frac {1}{4} \left (4 x-4 c_1 \sqrt {x}+c_1{}^2\right )\right \},\left \{y(x)\to \frac {1}{4} \left (4 x+4 c_1 \sqrt {x}+c_1{}^2\right )\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 39

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