What is laplacetransform e^{2t+3} ?

The answer to laplacetransform e^{2t+3} is (e^3)/(s-2)

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laplacetransform e^{2t+3}

laplace transform

e^{2 t + 3}

\frac{e ^{3}}{s - 2}

Solution steps

L {e^{2 t + 3}}

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^{3} L {e^{2 t}}

L {e^{2 t}} : \frac{1}{s - 2}

= e^{3} \frac{1}{s - 2}

Refine

e^{3} \frac{1}{s - 2} : \frac{e ^{3}}{s - 2}

= \frac{e ^{3}}{s - 2}

- cos (3 x)

f (x) = \frac{1}{8 x}, at x = 9

\frac{\partial}{\partial x} (2 x^{3} y^{2} + 2 y + 4 x)

\int x^{3} x^{4} + 1 d x

\frac{d ^{2} y}{d x ^{2}} + a^{2} \cdot y - e^{b - x} - 1 = 0

What is laplacetransform e^{2t+3} ?
The answer to laplacetransform e^{2t+3} is (e^3)/(s-2)