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人気のある微分積分 >

(dy)/(dx)=-(4x+4y)/(4x+9y)

解

\frac{d y}{d x} = - \frac{4 x + 4 y}{4 x + 9 y}

解

y = \frac{- 8 x + - 80 x ^{2} + c _{1}}{18}, y = \frac{- 8 x - - 80 x ^{2} + c _{1}}{18}

解答ステップ

\frac{d y}{d x} = - \frac{4 x + 4 y}{4 x + 9 y}

完全 ODE を解く:

y = \frac{- 8 x + - 80 x ^{2} + c _{1}}{18}, y = \frac{- 8 x - - 80 x ^{2} + c _{1}}{18}

y = \frac{- 8 x + - 80 x ^{2} + c _{1}}{18}, y = \frac{- 8 x - - 80 x ^{2} + c _{1}}{18}

グラフ

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