What is e^{-5t}(cosh(2t)+sinh(6t)) ?

The solution to e^{-5t}(cosh(2t)+sinh(6t)) is (cosh(2t)+sinh(6t))/(e^{5t)}

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simplify e^{-5t}(cosh(2t)+sinh(6t))

simplify

e^{- 5 t} (cosh (2 t) + sinh (6 t))

\frac{cosh ( 2 t ) + sinh ( 6 t )}{e ^{5 t}}

Solution steps

e^{- 5 t} (cosh (2 t) + sinh (6 t))

Apply exponent rule:

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

= \frac{1}{e ^{5 t}} (cosh (2 t) + sinh (6 t))

Multiply fractions:

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

= \frac{1 \cdot ( cosh ( 2 t ) + sinh ( 6 t ) )}{e ^{5 t}}

1 \cdot (cosh (2 t) + sinh (6 t)) = cosh (2 t) + sinh (6 t)

= \frac{cosh ( 2 t ) + sinh ( 6 t )}{e ^{5 t}}

2 \cdot 1^{0.7} \cdot 1^{0.7}

e^{- 59 \cdot 24}

9.8 \cdot 1 0^{- 9}

(5 c^{13.5}) (5 z^{3})

8.345 \cdot 1 0^{- 6}

What is e^{-5t}(cosh(2t)+sinh(6t)) ?
The solution to e^{-5t}(cosh(2t)+sinh(6t)) is (cosh(2t)+sinh(6t))/(e^{5t)}