What is laplacetransform 3*(5e^{-5.06s})+3*(2.26*5e^{-5.06s}) ?

The answer to laplacetransform 3*(5e^{-5.06s})+3*(2.26*5e^{-5.06s}) is (48.9)/(s+5.06)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

laplacetransform 3(5e^{-5.06s})+3(2.26*5e^{-5.06s})

laplace transform

3 \cdot (5 e^{- 5.06 s}) + 3 \cdot (2.26 \cdot 5 e^{- 5.06 s})

\frac{48.9}{s + 5.06}

Solution steps

L {3 (5 e^{- 5.06 s}) + 3 (5 \cdot 2.26 e^{- 5.06 s})}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 3 \cdot 5 L {e^{- 5.06 s}} + 3 \cdot 2.26 \cdot 5 L {e^{- 5.06 s}}

L {e^{- 5.06 s}} : \frac{1}{s + 5.06}

= 3 \cdot 5 \cdot \frac{1}{s + 5.06} + 3 \cdot 2.26 \cdot 5 \cdot \frac{1}{s + 5.06}

Refine

35 \frac{1}{s + 5.06} + 32.265 \frac{1}{s + 5.06} : \frac{48.9}{s + 5.06}

= \frac{48.9}{s + 5.06}

What is laplacetransform 3*(5e^{-5.06s})+3*(2.26*5e^{-5.06s}) ?
The answer to laplacetransform 3*(5e^{-5.06s})+3*(2.26*5e^{-5.06s}) is (48.9)/(s+5.06)