ODE No. 248

2.248 ODE No. 248

Problem in Latex
Mathematica input
Maple input

$(x^{2} + 6 x y (x) + 3) y^{'} (x) + 3 y (x)^{2} + 2 x y (x) + 2 x = 0$ ✓ Mathematica : cpu = 0.0147874 (sec), leaf count = 106

${{y (x) \to - \frac{\sqrt{6 c_{1} x - 2 x^{3} + \frac{1}{6} {(x^{2} + 3)}^{2}}}{\sqrt{6} x} - \frac{x^{2} + 3}{6 x}}, {y (x) \to \frac{\sqrt{6 c_{1} x - 2 x^{3} + \frac{1}{6} {(x^{2} + 3)}^{2}}}{\sqrt{6} x} - \frac{x^{2} + 3}{6 x}}}$

✓ Maple : cpu = 0.026 (sec), leaf count = 71

${y (x) = \frac{1}{6 x} (- x^{2} - 3 + \sqrt{x^{4} - 12 x^{3} - 12_C 1 x + 6 x^{2} + 9}), y (x) = - \frac{1}{6 x} (x^{2} + \sqrt{x^{4} - 12 x^{3} - 12_C 1 x + 6 x^{2} + 9} + 3)}$

[next] [prev] [prev-tail] [front] [up]