ODE No. 384

2.384 ODE No. 384

Problem in Latex
Mathematica input
Maple input

$(a x + b) y^{'} (x) - a y (x) + c + y^{'} (x)^{2} = 0$ ✓ Mathematica : cpu = 2.06615 (sec), leaf count = 183

${{y (x) \to \frac{- 2 \sqrt{- a^{4} e^{2 c_{1}} x^{2} - 2 a^{4} e^{2 c_{1}} x + a^{4} (- e^{2 c_{1}})} + 2 a^{3} x + a^{3} - 2 a^{2} b x - a b^{2} - a e^{2 c_{1}} + 4 a c}{4 a^{2}}}, {y (x) \to \frac{2 \sqrt{- a^{4} e^{2 c_{1}} x^{2} - 2 a^{4} e^{2 c_{1}} x + a^{4} (- e^{2 c_{1}})} + 2 a^{3} x + a^{3} - 2 a^{2} b x - a b^{2} - a e^{2 c_{1}} + 4 a c}{4 a^{2}}}}$

✓ Maple : cpu = 0.026 (sec), leaf count = 50

${y (x) = \frac{- a^{2} x^{2} - 2 a b x - b^{2} + 4 c}{4 a}, y (x) =_C 1 x + \frac{{_C 1}^{2} +_C 1 b + c}{a}}$

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