ODE No. 690

2.690 ODE No. 690

Problem in Latex
Mathematica input
Maple input

$y^{'} (x) = \frac{- \frac{x^{2}}{4} + x^{3} \sqrt{x^{2} + 8 y (x) - 2 x + 1} + \frac{1}{4}}{x + 1}$ ✓ Mathematica : cpu = 0.286215 (sec), leaf count = 127

${{y (x) \to \frac{1}{72} (- 96 c_{1} x^{3} + 144 c_{1} x^{2} - 288 c_{1} x + 288 c_{1} \log (4 x + 4) + 144 c_{1}^{2} - 528 c_{1} + 16 x^{6} - 48 x^{5} + 132 x^{4} + 32 x^{3} - 96 x^{3} \log (4 x + 4) - 129 x^{2} + 144 x^{2} \log (4 x + 4) + 546 x + 144 \log^{2} (4 x + 4) - 288 x \log (4 x + 4) - 528 \log (4 x + 4) + 475)}}$

✓ Maple : cpu = 0.317 (sec), leaf count = 40

${_C 1 + \frac{4 x^{3}}{3} - 2 x^{2} + 4 x - 4 \ln (1 + x) - \sqrt{x^{2} - 2 x + 1 + 8 y (x)} = 0}$

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