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人気のある微分積分 >

y^'= x/((1+2y))

解

y^{^{'}} = \frac{x}{( 1 + 2 y )}

解

y = \frac{- 1 + - 2 ( - x ^{2} - c _{1} ) + 1}{2}, y = - \frac{- 2 ( - x ^{2} - c _{1} ) + 1 + 1}{2}

解答ステップ

y^{'} (x) = \frac{x}{( 1 + 2 y )}

分離可能 ODE を解く:

y = \frac{- 1 + - 2 ( - x ^{2} - c _{1} ) + 1}{2}, y = - \frac{- 2 ( - x ^{2} - c _{1} ) + 1 + 1}{2}

y = \frac{- 1 + - 2 ( - x ^{2} - c _{1} ) + 1}{2}, y = - \frac{- 2 ( - x ^{2} - c _{1} ) + 1 + 1}{2}

グラフ

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