What is laplacetransform i(t) ?

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

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laplacetransform i(t)

laplace transform

i (t)

\frac{i}{s ^{2}}

Solution steps

L {i (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)}

= i L {t}

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

= i \frac{1}{s ^{2}}

Refine

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

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