What is laplacetransform sin(6t) ?

The answer to laplacetransform sin(6t) is 6/(s^2+36)

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laplacetransform sin(6t)

laplace transform

sin (6 t)

\frac{6}{s ^{2} + 36}

Solution steps

L {sin (6 t)}

Use Laplace Transform table:

L {sin (a t)} = \frac{a}{s ^{2} + a ^{2}}

L {sin (6 t)} = \frac{6}{s ^{2} + 6 ^{2}}

= \frac{6}{s ^{2} + 6 ^{2}}

= \frac{6}{s ^{2} + 36}

\frac{d y}{d x} - \frac{y}{x} = y^{2} \frac{sin ( x )}{x}

\int_{0}^{4} 4 e^{- 3 x} d x

\frac{d}{d x} (e^{- x} cos (x) - e^{- x} sin (x))

\frac{d y}{d x} + 3 y = x^{2}

\int \frac{tan ^{3} ( θ )}{cos ^{2} ( θ )} d θ

What is laplacetransform sin(6t) ?
The answer to laplacetransform sin(6t) is 6/(s^2+36)