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Popular >

simplify te^{-at}cos(bt)

Solution

simplify

t e^{- a t} cos (b t)

Solution

\frac{t cos ( t b )}{e ^{t a}}

Solution steps

t e^{- a t} cos (b t)

Apply exponent rule:

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

= \frac{1}{e ^{t a}} t cos (t b)

Multiply fractions:

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

= \frac{1 \cdot t cos ( b t )}{e ^{a t}}

Multiply:

1 \cdot t = t

= \frac{t cos ( t b )}{e ^{t a}}

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Frequently Asked Questions (FAQ)

What is te^{-at}cos(bt) ?
The solution to te^{-at}cos(bt) is (tcos(tb))/(e^{ta)}