簡約 1/2 e^{-5t}sinh(3t)

解

簡約

\frac{1}{2} e^{- 5 t} sinh (3 t)

\frac{sinh ( 3 t )}{2 e ^{5 t}}

解答ステップ

\frac{1}{2} e^{- 5 t} sinh (3 t)

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{2} \cdot \frac{1}{e ^{5 t}} sinh (3 t)

分数を乗じる:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot sinh ( 3 t )}{2 e ^{5 t}}

乗算:

1 \cdot 1 \cdot sinh (3 t) = sinh (3 t)

= \frac{sinh ( 3 t )}{2 e ^{5 t}}