2.407   ODE No. 407

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

\[ x y'(x)^2-y(x)=0 \] Mathematica : cpu = 0.0227999 (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 = 0.052 (sec), leaf count = 39

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