What is laplacetransform sin(sqrt(2)t) ?

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

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laplacetransform sin(sqrt(2)t)

laplace transform

sin (2 t)

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

Solution steps

L {sin (2 t)}

Use Laplace Transform table:

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

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

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

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

\int e^{s i n (y)} d y

\int \frac{t ^{3} - 1}{2 t - 2} d t

5 x^{4} (3 x - 7)

\int \frac{4}{7 x + 5} d x

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

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