ODE No. 1286

2.1286 ODE No. 1286

Problem in Latex
Mathematica input
Maple input

$(3 x - 1)^{2} y^{″} (x) + 3 (3 x - 1) y^{'} (x) - 9 y (x) - \log^{2} (3 x - 1) = 0$ ✓ Mathematica : cpu = 0.0984604 (sec), leaf count = 101

${{y (x) \to \frac{c_{1} ((1 - 3 x)^{2} + 1)}{2 (1 - 3 x)} + \frac{i c_{2} ((1 - 3 x)^{2} - 1)}{2 (1 - 3 x)} + \frac{- 6 x - 3 x \log^{2} (3 x - 1) + \log^{2} (3 x - 1) + \log (3 x - 1) - \log (1 - 3 x) + 1}{9 (3 x - 1)}}}$

✓ Maple : cpu = 0.033 (sec), leaf count = 32

${y (x) = \frac{_C 1}{3 x - 1} + (3 x - 1)_C 2 - \frac{{(\ln (3 x - 1))}^{2}}{9} - \frac{2}{9}}$

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