What is \delta(x-x^0)e^{-10x} ?

The solution to \delta(x-x^0)e^{-10x} is (\delta(x-1))/(e^{10x)}

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simplify \delta(x-x^0)e^{-10x}

simplify

δ (x - x^{0}) e^{- 10 x}

\frac{δ ( x - 1 )}{e ^{10 x}}

Solution steps

δ (x - x^{0}) e^{- 10 x}

Apply exponent rule:

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

= \frac{1}{e ^{10 x}} δ (x - x^{0})

Apply rule

a^{0} = 1, a \neq = 0

x^{0} = 1

= \frac{1}{e ^{10 x}} δ (x - 1)

Multiply fractions:

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

= \frac{1 \cdot δ ( x - 1 )}{e ^{10 x}}

Multiply:

1 \cdot δ (x - 1) = δ (x - 1)

= \frac{δ ( x - 1 )}{e ^{10 x}}

1.6 x (1 + 0.018848)^{- 3}

(+ 3 e^{3}) e^{- 5}

y^{- \frac{1}{3} = 4}

1.1 \cdot 10000 \cdot 0.1 \cdot 1 0^{- 6}

\frac{e ^{- k t}}{e ^{- k (t + \frac{t ^{1}}{2})}}

What is \delta(x-x^0)e^{-10x} ?
The solution to \delta(x-x^0)e^{-10x} is (\delta(x-1))/(e^{10x)}