What is laplacetransform sin(w) ?

The answer to laplacetransform sin(w) is 1/(s^2+1)

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laplacetransform sin(w)

laplace transform

sin (w)

\frac{1}{s ^{2} + 1}

Solution steps

L {sin (w)}

Use Laplace Transform table:

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

L {sin (w)} = \frac{1}{s ^{2} + 1 ^{2}}

= \frac{1}{s ^{2} + 1 ^{2}}

= \frac{1}{s ^{2} + 1}

y^{^{''}} + 4 y^{^{'}} + 5 y = 15 x + e^{(- x)}

y^{^{'}} = 2 x e^{(2 y)}

x \to \frac{π}{2} - lim (sec (x))

y = g (x), at x = 6

\frac{3}{s \cdot ( s ^{2} + 2 s + 5 )}

What is laplacetransform sin(w) ?
The answer to laplacetransform sin(w) is 1/(s^2+1)