ODE No. 849

2.849 ODE No. 849

Problem in Latex
Mathematica input
Maple input

$y^{'} (x) = x^{2} \sqrt{x^{2} + 4 y (x) - 4 x} + \sqrt{x^{2} + 4 y (x) - 4 x} + x^{3} \sqrt{x^{2} + 4 y (x) - 4 x} - \frac{x}{2} + 1$ ✓ Mathematica : cpu = 0.327627 (sec), leaf count = 68

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

✓ Maple : cpu = 0.381 (sec), leaf count = 35

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

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