What is laplacetransform 25t^2 ?

The answer to laplacetransform 25t^2 is (50)/(s^3)

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laplacetransform 25t^2

laplace transform

25 t^{2}

\frac{50}{s ^{3}}

Solution steps

L {25 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)}

= 25 L {t^{2}}

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

= 25 \cdot \frac{2}{s ^{3}}

Refine

25 \frac{2}{s ^{3}} : \frac{50}{s ^{3}}

= \frac{50}{s ^{3}}

f (t) = 7 - \frac{1}{3} t

\int \frac{7 x ^{2} + 5 x + 7}{( x ^{2} + 1 ) ^{2}} d x

\frac{\partial}{\partial y} (y^{3})

\int sin (x) cos^{- 4} (x) d x

\int_{1}^{6} x^{- 4} d x

What is laplacetransform 25t^2 ?
The answer to laplacetransform 25t^2 is (50)/(s^3)