What is laplacetransform e^tsin(3t) ?

The answer to laplacetransform e^tsin(3t) is 3/((s-1)^2+9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

laplacetransform e^tsin(3t)

laplace transform

e^{t} sin (3 t)

\frac{3}{( s - 1 ) ^{2} + 9}

Solution steps

L {e^{t} sin (3 t)}

Apply transform rule:

L {f (t)} = F (s)

then

L {e^{a t} f (t)} = F (s - a)

For

e^{t} sin (3 t) : f (t) = sin (3 t), a = 1

= L {sin (3 t)} (s - 1)

L {sin (3 t)} : \frac{3}{s ^{2} + 9}

= \frac{3}{( s - 1 ) ^{2} + 9}

3 x^{2} + x y + 3 y^{2}

\frac{d}{d x} (\frac{x ^{2}}{100} + 8 + \frac{20}{x})

\frac{d}{d x} (cos (x) - 6 tan (x))

\frac{d}{d x} (\frac{3 x ^{2} + 9}{6 x})

f (x) = \frac{x + 1}{x ^{2} + 1}

What is laplacetransform e^tsin(3t) ?
The answer to laplacetransform e^tsin(3t) is 3/((s-1)^2+9)