2.258   ODE No. 258

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

\[ 2 x^2 y(x) y'(x)-2 x^3-x^2+y(x)^2=0 \] Mathematica : cpu = 0.0977071 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\sqrt {x^2+c_1 e^{\frac {1}{x}}}\right \},\left \{y(x)\to \sqrt {x^2+c_1 e^{\frac {1}{x}}}\right \}\right \}\] Maple : cpu = 0.018 (sec), leaf count = 33

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