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人気のある微分積分 >

laplacetransform e^{2t}cos(3t)

解

ラプラス変換

e^{2 t} cos (3 t)

解

\frac{s - 2}{( s - 2 ) ^{2} + 9}

解答ステップ

L {e^{2 t} cos (3 t)}

変換ルールを適用:

L {f (t)} = F (s)

ならば

L {e^{a t} f (t)} = F (s - a)

e^{2 t} cos (3 t)

向け

: f (t) = cos (3 t), a = 2

= L {cos (3 t)} (s - 2)

L {cos (3 t)} : \frac{s}{s ^{2} + 9}

= \frac{( s - 2 )}{( s - 2 ) ^{2} + 9}

= \frac{s - 2}{( s - 2 ) ^{2} + 9}

人気の例

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