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人気のある微分積分 >

(dy)/(dx)=(x-3)/(y+1)

解

\frac{d y}{d x} = \frac{x - 3}{y + 1}

解

y = - 1 + x^{2} - 6 x + c_{1} + 1, y = - x^{2} - 6 x + c_{1} + 1 - 1

解答ステップ

\frac{d y}{d x} = \frac{x - 3}{y + 1}

分離可能 ODE を解く:

y = - 1 + x^{2} - 6 x + c_{1} + 1, y = - x^{2} - 6 x + c_{1} + 1 - 1

y = - 1 + x^{2} - 6 x + c_{1} + 1, y = - x^{2} - 6 x + c_{1} + 1 - 1

グラフ

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