2.437   ODE No. 437

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

\[ -(a+2 x y(x)) y'(x)+x^2 y'(x)^2+y(x)^2=0 \] Mathematica : cpu = 0.34443 (sec), leaf count = 47

\[\left \{\left \{y(x)\to \frac {x-2 \sqrt {a} c_1}{4 c_1^2}\right \},\left \{y(x)\to \frac {2 \sqrt {a} c_1+x}{4 c_1^2}\right \}\right \}\]

Maple : cpu = 0.128 (sec), leaf count = 36

\[ \left \{ y \left ( x \right ) =-{\frac {a}{4\,x}},y \left ( x \right ) ={\it \_C1}\,x-\sqrt {a{\it \_C1}},y \left ( x \right ) ={\it \_C1}\,x+\sqrt {a{\it \_C1}} \right \} \]