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人気のある微分積分 >

(dy)/(dt)= 1/5 t

解

\frac{d y}{d t} = \frac{1}{5} t

解

y = \frac{t ^{2}}{10} + c_{1}

解答ステップ

\frac{d y}{d t} = \frac{1}{5} t

代用

\frac{d y}{d t}

と

y^{'} (t)

y^{^{'}} (t) = \frac{1}{5} t

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

であれば

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

y = \int \frac{1}{5} t d t

\int \frac{1}{5} t d t = \frac{t ^{2}}{10} + c_{1}

y = \frac{t ^{2}}{10} + c_{1}

グラフ

人気の例

y^{''}-0.2y^'+0.01y=0,y(0)=12,y^'(0)=b

y^{^{''}} - 0.2 y^{^{'}} + 0.01 y = 0, y (0) = 12, y^{^{'}} (0) = b

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