What is laplacetransform t/5 ?

The answer to laplacetransform t/5 is 1/(5s^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform t/5

laplace transform

\frac{t}{5}

\frac{1}{5 s ^{2}}

Solution steps

L {\frac{t}{5}}

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)}

= \frac{1}{5} L {t}

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

= \frac{1}{5} \cdot \frac{1}{s ^{2}}

Refine

\frac{1}{5} \frac{1}{s ^{2}} : \frac{1}{5 s ^{2}}

= \frac{1}{5 s ^{2}}

y^{^{'}} - 6 y = x

\int_{2}^{\infty} e^{- 6 p} d p

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

\int x^{2} + 6 x d x

\frac{\partial}{\partial x} (- \frac{v ( x , t )}{b ( x , t ) x - b ( x , t ) v ( x , t ) t})