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人気のある微分積分 >

2x^2y^'=y^'+5xe^{-y}

解

2 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

解

y = ln (\frac{5}{4} ln (2 x^{2} - 1) + c_{1})

解答ステップ

2 x^{2} y^{'} (x) = y^{'} (x) + 5 x e^{- y}

分離可能 ODE を解く:

y = ln (\frac{5}{4} ln (2 x^{2} - 1) + c_{1})

y = ln (\frac{5}{4} ln (2 x^{2} - 1) + c_{1})

グラフ

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