What is laplacetransform 10x ?

The answer to laplacetransform 10x is (10)/(s^2)

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laplacetransform 10x

laplace transform

10 x

\frac{10}{s ^{2}}

Solution steps

L {10 x}

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)}

= 10 L {x}

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

= 10 \cdot \frac{1}{s ^{2}}

Refine

10 \frac{1}{s ^{2}} : \frac{10}{s ^{2}}

= \frac{10}{s ^{2}}