What is laplacetransform 5t ?

The answer to laplacetransform 5t is 5/(s^2)

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laplacetransform 5t

laplace transform

5 t

\frac{5}{s ^{2}}

Solution steps

L {5 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)}

= 5 L {t}

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

= 5 \cdot \frac{1}{s ^{2}}

Refine

5 \frac{1}{s ^{2}} : \frac{5}{s ^{2}}

= \frac{5}{s ^{2}}

e^{x^{2}} + x^{3}

x \to 0 lim (cos^{2} (2 x))

\int - cos (\frac{nπ x}{2}) d x

\int sin (8 t) d t

f (x) = \frac{e ^{x}}{1 + e ^{x}}, at x = 1