What is laplacetransform sin(pit) ?

The answer to laplacetransform sin(pit) is pi/(s^2+pi^2)

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laplacetransform sin(pit)

laplace transform

sin (π t)

\frac{π}{s ^{2} + π ^{2}}

Solution steps

L {sin (π t)}

Use Laplace Transform table:

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

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

= \frac{π}{s ^{2} + π ^{2}}

y = x + \frac{1}{x}

\frac{\partial}{\partial x} (x y - 2 x^{2} y)

y^{^{'}} + y = e^{- 4 t} cos (3 t), y (0) = 0

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

e^{- 2 t + 3}

What is laplacetransform sin(pit) ?
The answer to laplacetransform sin(pit) is pi/(s^2+pi^2)