What is laplacetransform e^{3t+1} ?

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

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laplacetransform e^{3t+1}

laplace transform

e^{3 t + 1}

\frac{e}{s - 3}

Solution steps

L {e^{3 t + 1}}

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)}

= e^{1} L {e^{3 t}}

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

= e^{1} \frac{1}{s - 3}

Refine

e^{1} \frac{1}{s - 3} : \frac{e}{s - 3}

= \frac{e}{s - 3}

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

\int \frac{3}{0.5 - 5 z} d z

\frac{d}{d x} (\frac{cos ( x )}{2 x})

\int \frac{sec ^{3} ( x )}{2} d x

\frac{\partial}{\partial x} (\frac{1}{2} (x^{2} - y^{2}))

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