簡約 e^{-rt}(at+b^1)(K)

解

簡約

e^{- r t} (a t + b^{1}) (K)

\frac{K ( t a + b )}{e ^{r t}}

解答ステップ

e^{- r t} (a t + b^{1}) (K)

指数の規則を適用する:

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

= \frac{1}{e ^{r t}} K (t a + b^{1})

規則を適用

a^{1} = a

b^{1} = b

= \frac{1}{e ^{r t}} K (t a + b)

分数を乗じる:

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

= \frac{1 \cdot ( a t + b ) K}{e ^{r t}}

乗算:

1 \cdot (a t + b) = (a t + b)

= \frac{K ( t a + b )}{e ^{r t}}