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)

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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}

\int \frac{( 9 4 - x ^{2} )}{2} d x

\frac{\partial}{\partial x} (sin (2 x + y))

\frac{d}{d x} (- (x - 3)^{2})

\frac{d}{d x} (- x csc^{2} (x))

n = 1 \sum \infty \frac{3}{e ^{n}}

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)