ODE No. 410

2.410 ODE No. 410

Problem in Latex
Mathematica input
Maple input

$x y^{'} (x)^{2} + 4 y^{'} (x) - 2 y (x) = 0$ ✓ Mathematica : cpu = 30.7078 (sec), leaf count = 80

$Solve [{x = - \frac{2 (2 K $ 350139 - y (K $ 350139))}{{K $ 350139}^{2}}, y (x) = 4 e^{- 4 (\frac{1}{2} \log (2 - K $ 350139) - \frac{\log (K $ 350139)}{2})} (\frac{2}{K $ 350139} + \log (K $ 350139)) + c_{1} e^{- 4 (\frac{1}{2} \log (2 - K $ 350139) - \frac{\log (K $ 350139)}{2})}}, {y (x), K $ 350139}]$ ✓ Maple : cpu = 0.24 (sec), leaf count = 64

${y (x) = \frac{x e^{2 R o o t O f (- x e^{2_Z} + 4 x e^{_Z} - 4 e^{_Z} +_C 1 + 8_Z - 4 x)}}{2} + 2 e^{R o o t O f (- x e^{2_Z} + 4 x e^{_Z} - 4 e^{_Z} +_C 1 + 8_Z - 4 x)}}$

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