ODE No. 847

2.847 ODE No. 847

Problem in Latex
Mathematica input
Maple input

$y^{'} (x) = x^{2} \sqrt{x^{2} - 4 y (x) + 2 x + 1} + \sqrt{x^{2} - 4 y (x) + 2 x + 1} + x^{3} \sqrt{x^{2} - 4 y (x) + 2 x + 1} + \frac{x}{2} + \frac{1}{2}$ ✓ Mathematica : cpu = 0.365323 (sec), leaf count = 69

${{y (x) \to \frac{1}{144} (72 c_{1} x^{4} + 96 c_{1} x^{3} + 288 c_{1} x - 144 c_{1}^{2} - 9 x^{8} - 24 x^{7} - 16 x^{6} - 72 x^{5} - 96 x^{4} - 108 x^{2} + 72 x + 36)}}$

✓ Maple : cpu = 0.398 (sec), leaf count = 36

${- \frac{1}{2} \sqrt{x^{2} + 2 x + 1 - 4 y (x)} - \frac{x^{4}}{4} - \frac{x^{3}}{3} - x -_C 1 = 0}$

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