2.258   ODE No. 258

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

\[ -2 x^3+2 x^2 y(x) y'(x)-x^2+y(x)^2=0 \] Mathematica : cpu = 0.141946 (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 = 0.028 (sec), leaf count = 33

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