2.740   ODE No. 740

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

\[ y'(x)=\frac {x^4-2 x^2 y(x)^2+y(x)^4+x}{y(x)} \] Mathematica : cpu = 0.125116 (sec), leaf count = 74

\[\left \{\left \{y(x)\to -\frac {\sqrt {2 x^3+2 c_1 x^2-1}}{\sqrt {2} \sqrt {x+c_1}}\right \},\left \{y(x)\to \frac {\sqrt {2 x^3+2 c_1 x^2-1}}{\sqrt {2} \sqrt {x+c_1}}\right \}\right \}\] Maple : cpu = 0.096 (sec), leaf count = 72

\[\left \{y \left (x \right ) = \frac {\sqrt {2}\, \sqrt {\left (c_{1}+x \right ) \left (2 x^{3}+2 c_{1} x^{2}-1\right )}}{2 c_{1}+2 x}, y \left (x \right ) = -\frac {\sqrt {2}\, \sqrt {\left (c_{1}+x \right ) \left (2 x^{3}+2 c_{1} x^{2}-1\right )}}{2 c_{1}+2 x}\right \}\]