What is laplacetransform tsin(1.74t) ?

The answer to laplacetransform tsin(1.74t) is (3.48s)/((s^2+3.0276)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform tsin(1.74t)

laplace transform

t sin (1.74 t)

\frac{3.48 s}{( s ^{2} + 3.0276 ) ^{2}}

Solution steps

L {t sin (1.74 t)}

Use Laplace Transform table:

L {t^{k} f (t)} = (- 1)^{k} \frac{d ^{k}}{d s ^{k}} (L {f (t)})

For

t sin (1.74 t) : f (t) = sin (1.74 t), k = 1

= (- 1)^{1} \frac{d}{d s} (L {sin (1.74 t)})

L {sin (1.74 t)} : \frac{1.74}{s ^{2} + 3.0276}

\frac{d}{d s} (\frac{1.74}{s ^{2} + 3.0276}) = - \frac{3.48 s}{( s ^{2} + 3.0276 ) ^{2}}

= (- 1)^{1} (- \frac{3.48 s}{( s ^{2} + 3.0276 ) ^{2}})

= \frac{3.48 s}{( s ^{2} + 3.0276 ) ^{2}}

\int - \frac{1}{3 ( s - 1 ) ^{3}} d s

\int \frac{x}{x - 13} d x

\int cos^{4} (3 x) d x

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

y = 5 x^{2}, y^{2} = \frac{1}{5} x

What is laplacetransform tsin(1.74t) ?
The answer to laplacetransform tsin(1.74t) is (3.48s)/((s^2+3.0276)^2)