What is laplacetransform 7sin(3/2 t) ?

The answer to laplacetransform 7sin(3/2 t) is (42)/(4s^2+9)

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laplacetransform 7sin(3/2 t)

laplace transform

7 sin (\frac{3}{2} t)

\frac{42}{4 s ^{2} + 9}

Solution steps

L {7 sin (\frac{3}{2} t)}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 7 L {sin (\frac{3}{2} t)}

L {sin (\frac{3}{2} t)} : \frac{6}{4 s ^{2} + 9}

= 7 \cdot \frac{6}{4 s ^{2} + 9}

Refine

7 \frac{6}{4 s ^{2} + 9} : \frac{42}{4 s ^{2} + 9}

= \frac{42}{4 s ^{2} + 9}

y^{^{''}} - y^{^{'}} + 5 y = 0

t e^{- 2 t}

\frac{\partial}{\partial x} (\frac{y}{x + 1})

\frac{s}{1}

\frac{\partial}{\partial x} (- x^{2} y + \frac{1}{y})

What is laplacetransform 7sin(3/2 t) ?
The answer to laplacetransform 7sin(3/2 t) is (42)/(4s^2+9)