What is xe^{-a_{0}x}y\delta(x-2) ?

The solution to xe^{-a_{0}x}y\delta(x-2) is (xy\delta(x-2))/(e^{a_{0)x}}

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simplify xe^{-a_{0}x}y\delta(x-2)

simplify

x e^{- a_{0} x} yδ (x - 2)

\frac{x yδ ( x - 2 )}{e ^{a_{0} x}}

Solution steps

x e^{- a_{0} x} yδ (x - 2)

Apply exponent rule:

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

= \frac{1}{e ^{a_{0} x}} x yδ (x - 2)

Multiply fractions:

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

= \frac{1 \cdot x yδ ( x - 2 )}{e ^{a_{0} x}}

Multiply:

1 \cdot x = x

= \frac{x yδ ( x - 2 )}{e ^{a_{0} x}}

- 2\infty e^{- \infty}

3 π (3)^{2}

e^{- 2 (t - t^{0})} u (t - 2 t^{0})

(\frac{0.04}{0.46})^{- 1.78} \cdot 2.93

What is xe^{-a_{0}x}y\delta(x-2) ?
The solution to xe^{-a_{0}x}y\delta(x-2) is (xy\delta(x-2))/(e^{a_{0)x}}