What is laplacetransform 18e^t ?

The answer to laplacetransform 18e^t is (18)/(s-1)

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laplacetransform 18e^t

laplace transform

18 e^{t}

\frac{18}{s - 1}

Solution steps

L {18 e^{t}}

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)}

= 18 L {e^{t}}

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

= 18 \cdot \frac{1}{s - 1}

Refine

18 \frac{1}{s - 1} : \frac{18}{s - 1}

= \frac{18}{s - 1}

f (x) = \frac{3}{x}, at x = 4

\frac{d x}{d t} = x e^{t} + 3 e^{t} + x - 3

15 cos (x), 15 sin (x), [0, \frac{π}{2}]

\int sin (2 x) cos (5 x) d x

x + 3, \frac{( x + 3 )}{2}, - 3, 1

What is laplacetransform 18e^t ?
The answer to laplacetransform 18e^t is (18)/(s-1)