2.277   ODE No. 277

\[ \left (x^4+y(x)^2\right ) y'(x)-4 x^3 y(x)=0 \] Mathematica : cpu = 0.113704 (sec), leaf count = 53


\[\left \{\left \{y(x)\to \frac {1}{2} \left (c_1-\sqrt {4 x^4+c_1{}^2}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (\sqrt {4 x^4+c_1{}^2}+c_1\right )\right \}\right \}\] Maple : cpu = 0.277 (sec), leaf count = 41


\[y \relax (x ) = -\frac {\sqrt {4 x^{4}+c_{1}^{2}}}{2}+\frac {c_{1}}{2}\]