ODE No. 1144

2.1144 ODE No. 1144

Problem in Latex
Mathematica input
Maple input

$(3 a + b x) y^{'} (x) + 2 a x y^{″} (x) + c y (x) = 0$ ✓ Mathematica : cpu = 0.0412271 (sec), leaf count = 88

${{y (x) \to c_{1} e^{- \frac{b x}{2 a}} U (- \frac{2 c - 3 b}{2 b}, \frac{3}{2}, \frac{b x}{2 a}) + c_{2} e^{- \frac{b x}{2 a}} L_{\frac{2 c - 3 b}{2 b}}^{\frac{1}{2}} (\frac{b x}{2 a})}}$

✓ Maple : cpu = 0.086 (sec), leaf count = 67

${y (x) =_C 1 e^{- \frac{b x}{2 a}} M (\frac{3 b - 2 c}{2 b}, \frac{3}{2}, \frac{b x}{2 a}) +_C 2 e^{- \frac{b x}{2 a}} U (\frac{3 b - 2 c}{2 b}, \frac{3}{2}, \frac{b x}{2 a})}$

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