2.407   ODE No. 407

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

\[ \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.0166647 (sec), leaf count = 51

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {1}{4} \left (-4 c_1 \sqrt {\text {Global$\grave { }$x}}+c_1^2+4 \text {Global$\grave { }$x}\right )\right \},\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {1}{4} \left (4 c_1 \sqrt {\text {Global$\grave { }$x}}+c_1^2+4 \text {Global$\grave { }$x}\right )\right \}\right \}\]

Maple : cpu = 0.027 (sec), leaf count = 39

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