What is laplacetransform 3tsin(t) ?

The answer to laplacetransform 3tsin(t) is (6s)/((s^2+1)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform 3tsin(t)

laplace transform

3 t sin (t)

\frac{6 s}{( s ^{2} + 1 ) ^{2}}

Solution steps

L {3 t sin (t)}

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)}

= 3 L {t sin (t)}

L {t sin (t)} : \frac{2 s}{( s ^{2} + 1 ) ^{2}}

= 3 \cdot \frac{2 s}{( s ^{2} + 1 ) ^{2}}

Refine

3 \frac{2 s}{( s ^{2} + 1 ) ^{2}} : \frac{6 s}{( s ^{2} + 1 ) ^{2}}

= \frac{6 s}{( s ^{2} + 1 ) ^{2}}

\frac{\partial}{\partial x} (\frac{5 y}{x ^{5}})

x y^{^{'}} - 3 y^{2} = 0

3 e^{- 7 t} cos (\frac{t}{3} + \frac{π}{3})

\frac{d y}{d x - y ^{2}} = 36

x \to 0 lim (\frac{cos ( 4 x ) - 1}{x})

What is laplacetransform 3tsin(t) ?
The answer to laplacetransform 3tsin(t) is (6s)/((s^2+1)^2)