What is laplacetransform 8t^2 ?

The answer to laplacetransform 8t^2 is (16)/(s^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform 8t^2

laplace transform

8 t^{2}

\frac{16}{s ^{3}}

Solution steps

L {8 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)}

= 8 L {t^{2}}

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

= 8 \cdot \frac{2}{s ^{3}}

Refine

8 \frac{2}{s ^{3}} : \frac{16}{s ^{3}}

= \frac{16}{s ^{3}}

y^{^{'}} + 2 y = 60, y (1) = 80

\frac{d y}{d x} + \frac{3 y}{x} = x^{5} y^{3}

2 x y^{2} + x^{2} y^{^{'}} = y^{2}

y^{^{'}} = y (3 - y), y (0) = 5

f (x) = 3 sin (x) + cos (x)

What is laplacetransform 8t^2 ?
The answer to laplacetransform 8t^2 is (16)/(s^3)