What is laplacetransform e^{-3t}+3 ?

The answer to laplacetransform e^{-3t}+3 is 1/(s+3)+3/s

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laplacetransform e^{-3t}+3

laplace transform

e^{- 3 t} + 3

\frac{1}{s + 3} + \frac{3}{s}

Solution steps

L {e^{- 3 t} + 3}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {e^{- 3 t}} + L {3}

L {e^{- 3 t}} : \frac{1}{s + 3}

L {3} : \frac{3}{s}

= \frac{1}{s + 3} + \frac{3}{s}

\int \frac{- t}{( t + 1 ) - ( t + 1 )} d t

\frac{\partial}{\partial t} (\frac{3 y ^{2} - t ^{2}}{y ^{5}})

x \to 0 lim (\frac{( 3 ^{x} - 1 )}{x})

\int_{0}^{6} π (36 x^{2} - x^{4}) d x

x \to 0 lim ((ln (x))^{x})

What is laplacetransform e^{-3t}+3 ?
The answer to laplacetransform e^{-3t}+3 is 1/(s+3)+3/s