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人気のある微分積分 >

(dy)/(dx)=x^{3/2}

解

\frac{d y}{d x} = x^{\frac{3}{2}}

解

y = \frac{2}{5} x^{\frac{5}{2}} + c_{1}

解答ステップ

\frac{d y}{d x} = x^{\frac{3}{2}}

代用

\frac{d y}{d x}

と

y^{'} (x)

y^{^{'}} (x) = x^{\frac{3}{2}}

f^{^{'}} (x) = g (x)

であれば

f (x) = \int g (x) d x

y = \int x^{\frac{3}{2}} d x

\int x^{\frac{3}{2}} d x = \frac{2}{5} x^{\frac{5}{2}} + c_{1}

y = \frac{2}{5} x^{\frac{5}{2}} + c_{1}

グラフ

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