What is laplacetransform 7x^2 ?

The answer to laplacetransform 7x^2 is (14)/(s^3)

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laplacetransform 7x^2

laplace transform

7 x^{2}

\frac{14}{s ^{3}}

Solution steps

L {7 x^{2}}

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)}

= 7 L {x^{2}}

L {x^{2}} : \frac{2}{s ^{3}}

= 7 \cdot \frac{2}{s ^{3}}

Refine

7 \frac{2}{s ^{3}} : \frac{14}{s ^{3}}

= \frac{14}{s ^{3}}

(x^{4})^{^{'}}

\frac{\partial}{\partial x} (\frac{1}{2} y arctan (\frac{x}{y}))

\int \frac{x ^{2} - 3 x - 7}{( 2 x + 3 ) ( x + 1 )} d x

\int_{1}^{e^{3}} \frac{1}{x ( 1 + ln ( x ) )} d x

y^{^{''}} + 25 y = 4 csc^{2} (5 t)

What is laplacetransform 7x^2 ?
The answer to laplacetransform 7x^2 is (14)/(s^3)