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Popular >

simplify L{cos(5t)}e^{-4s}

Solution

simplify

L {cos (5 t)} e^{- 4 s}

Solution

\frac{L cos ( 5 t )}{e ^{4 s}}

Solution steps

L {cos (5 t)} e^{- 4 s}

Apply exponent rule:

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

= L \frac{1}{e ^{4 s}} {cos (5 t)}

Remove parentheses:

(a) = a

= L cos (5 t) \frac{1}{e ^{4 s}}

Multiply fractions:

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

= \frac{1 L cos ( 5 t )}{e ^{4 s}}

Multiply:

1 L = L

= \frac{L cos ( 5 t )}{e ^{4 s}}

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Frequently Asked Questions (FAQ)

What is L{cos(5t)}e^{-4s} ?
The solution to L{cos(5t)}e^{-4s} is (Lcos(5t))/(e^{4s)}