What is laplacetransform 15t^2 ?

The answer to laplacetransform 15t^2 is (30)/(s^3)

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laplacetransform 15t^2

laplace transform

15 t^{2}

\frac{30}{s ^{3}}

Solution steps

L {15 t^{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)}

= 15 L {t^{2}}

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

= 15 \cdot \frac{2}{s ^{3}}

Refine

15 \frac{2}{s ^{3}} : \frac{30}{s ^{3}}

= \frac{30}{s ^{3}}

- 4 csc^{2} (x) + 4 sec^{2} (x)

y = (x^{2} + x + 1)^{100}

\frac{\partial}{\partial x} (15 x y e^{- x^{2} - y^{2}})

\int \frac{x}{( 16 + x ^{2} ) ^{\frac{3}{2}}} d x

y = ln (\frac{1 + sin ( x )}{1 - sin ( x )})

What is laplacetransform 15t^2 ?
The answer to laplacetransform 15t^2 is (30)/(s^3)