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人気のある微分積分 >

6x^2y^'=y^'+2xe^{-y}

解

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

解

y = ln (\frac{1}{6} ln (6 x^{2} - 1) + c_{1})

解答ステップ

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

分離可能 ODE を解く:

y = ln (\frac{1}{6} ln (6 x^{2} - 1) + c_{1})

y = ln (\frac{1}{6} ln (6 x^{2} - 1) + c_{1})

グラフ

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