ODE No. 1020

2.1020 ODE No. 1020

Problem in Latex
Mathematica input
Maple input

$y (x) (a e^{2 x} + b e^{x} + c) + y^{″} (x) = 0$ ✓ Mathematica : cpu = 0.653906 (sec), leaf count = 180

${{y (x) \to c_{1} e^{i (\sqrt{c} \log (e^{x}) - \sqrt{a} e^{x})} U (\frac{i (b - i \sqrt{a} + 2 \sqrt{a} \sqrt{c})}{2 \sqrt{a}}, 2 i \sqrt{c} + 1, 2 i \sqrt{a} e^{x}) + c_{2} e^{i (\sqrt{c} \log (e^{x}) - \sqrt{a} e^{x})} L_{- \frac{i (2 \sqrt{a} \sqrt{c} - i \sqrt{a} + b)}{2 \sqrt{a}}}^{2 i \sqrt{c}} (2 i \sqrt{a} e^{x})}}$

✓ Maple : cpu = 0.202 (sec), leaf count = 61

${y (x) =_C 1 e^{- \frac{x}{2}} M_{- \frac{i}{2} b \frac{1}{\sqrt{a}}, i \sqrt{c}} (2 i \sqrt{a} e^{x}) +_C 2 e^{- \frac{x}{2}} W_{- \frac{i}{2} b \frac{1}{\sqrt{a}}, i \sqrt{c}} (2 i \sqrt{a} e^{x})}$

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