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Popular >

simplify Le^{-t}sin(2t)

Solution

simplify

L e^{- t} sin (2 t)

Solution

\frac{L sin ( 2 t )}{e ^{t}}

Solution steps

L e^{- t} sin (2 t)

Apply exponent rule:

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

= L \frac{1}{e ^{t}} sin (2 t)

Multiply fractions:

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

= \frac{1 L sin ( 2 t )}{e ^{t}}

Multiply:

1 L = L

= \frac{L sin ( 2 t )}{e ^{t}}

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Frequently Asked Questions (FAQ)

What is Le^{-t}sin(2t) ?
The solution to Le^{-t}sin(2t) is (Lsin(2t))/(e^t)