What is laplacetransform 3(d^2x) ?

The answer to laplacetransform 3(d^2x) is (3d^2)/(s^2)

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laplacetransform 3(d^2x)

laplace transform

3 (d^{2} x)

\frac{3 d ^{2}}{s ^{2}}

Solution steps

L {3 (d^{2} 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)}

= 3 d^{2} L {x}

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

= 3 d^{2} \frac{1}{s ^{2}}

Refine

3 d^{2} \frac{1}{s ^{2}} : \frac{3 d ^{2}}{s ^{2}}

= \frac{3 d ^{2}}{s ^{2}}

n = 1 \sum \infty n^{- 2}

\frac{\partial}{\partial x} (5 x^{4} y^{3} + 2 x y)

y^{^{'}} + t^{2} y = 1

\int_{0}^{\infty} e^{\frac{- x ^{2}}{2}} d x

\int \frac{1}{x ^{2}} cos^{2} (\frac{1}{x}) d x

What is laplacetransform 3(d^2x) ?
The answer to laplacetransform 3(d^2x) is (3d^2)/(s^2)