What is laplacetransform 1.5cos((2pi)/(25)x) ?

The answer to laplacetransform 1.5cos((2pi)/(25)x) is (937.5s)/(625s^2+4pi^2)

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laplacetransform 1.5cos((2pi)/(25)x)

laplace transform

1.5 cos (\frac{2 π}{25} x)

\frac{937.5 s}{625 s ^{2} + 4 π ^{2}}

Solution steps

L {1.5 cos (\frac{2 π}{25} x)}

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)}

= 1.5 L {cos (\frac{2 π}{25} x)}

L {cos (\frac{2 π}{25} x)} : \frac{625 s}{625 s ^{2} + 4 π ^{2}}

= 1.5 \cdot \frac{625 s}{625 s ^{2} + 4 π ^{2}}

Refine

1.5 \frac{625 s}{625 s ^{2} + 4 π ^{2}} : \frac{937.5 s}{625 s ^{2} + 4 π ^{2}}

= \frac{937.5 s}{625 s ^{2} + 4 π ^{2}}

2 t

\int sin (y^{2}) d y

x \to 0 lim (\frac{e ^{x} - 1}{20 x})

\frac{\partial}{\partial x} (\frac{7 x z}{x + y})

\int (4 t - 2) (e^{t^{2} - t}) d t

What is laplacetransform 1.5cos((2pi)/(25)x) ?
The answer to laplacetransform 1.5cos((2pi)/(25)x) is (937.5s)/(625s^2+4pi^2)