2.277   ODE No. 277

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

\[ \left (x^4+y(x)^2\right ) y'(x)-4 x^3 y(x)=0 \] Mathematica : cpu = 0.0145265 (sec), leaf count = 53

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

Maple : cpu = 0.345 (sec), leaf count = 67

\[ \left \{ y \left ( x \right ) = \left ( {\frac {1}{2\,{x}^{2}} \left ( 2\,{x}^{2}+{\it \_C1}-\sqrt {4\,{x}^{4}+{{\it \_C1}}^{2}} \right ) }-1 \right ) {x}^{2},y \left ( x \right ) = \left ( {\frac {1}{2\,{x}^{2}} \left ( 2\,{x}^{2}+{\it \_C1}+\sqrt {4\,{x}^{4}+{{\it \_C1}}^{2}} \right ) }-1 \right ) {x}^{2} \right \} \]