ODE No. 937

3.937 ODE No. 937

$\frac{d}{d x} y (x) = \frac{- 2 y (x) - 2 \ln (2 x + 1) - 2 + 2 x {(y (x))}^{3} + {(y (x))}^{3} + 6 {(y (x))}^{2} \ln (2 x + 1) x + 3 {(y (x))}^{2} \ln (2 x + 1) + 6 y (x) {(\ln (2 x + 1))}^{2} x + 3 y (x) {(\ln (2 x + 1))}^{2} + 2 {(\ln (2 x + 1))}^{3} x + {(\ln (2 x + 1))}^{3}}{(2 x + 1) (y (x) + \ln (2 x + 1) + 1)} = 0$

Problem in Latex
Mathematica input
Maple input

Mathematica: cpu = 0.054007 (sec), leaf count = 124 ${{y (x) \to \frac{1}{(2 x + 1) (\frac{2 x + 1}{4 x^{2} + 4 x + 1} - \frac{1}{(2 x + 1) \sqrt{c_{1} - 2 x}})} - \log (2 x + 1) - 1}, {y (x) \to \frac{1}{(2 x + 1) (\frac{1}{(2 x + 1) \sqrt{c_{1} - 2 x}} + \frac{2 x + 1}{4 x^{2} + 4 x + 1})} - \log (2 x + 1) - 1}}$

Maple: cpu = 0.046 (sec), leaf count = 79 ${y (x) = - 1 (\sqrt{_C 1 - 2 x} \ln (2 x + 1) - \ln (2 x + 1) - 1) {(\sqrt{_C 1 - 2 x} - 1)}^{- 1}, y (x) = - 1 (\sqrt{_C 1 - 2 x} \ln (2 x + 1) + \ln (2 x + 1) + 1) {(\sqrt{_C 1 - 2 x} + 1)}^{- 1}}$

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