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人気のある微分積分 >

(dx)/(dt)+7x=5cos(2t)

解

\frac{d x}{d t} + 7 x = 5 cos (2 t)

解

x = \frac{5 ( 2 sin ( 2 t ) + 7 cos ( 2 t ) )}{53} + \frac{c _{1}}{e ^{7 t}}

解答ステップ

\frac{d x}{d t} + 7 x = 5 cos (2 t)

線形 ODE を解く:

x = \frac{5 ( 2 sin ( 2 t ) + 7 cos ( 2 t ) )}{53} + \frac{c _{1}}{e ^{7 t}}

x = \frac{5 ( 2 sin ( 2 t ) + 7 cos ( 2 t ) )}{53} + \frac{c _{1}}{e ^{7 t}}

グラフ

人気の例

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