What is laplacetransform x+k*x ?

The answer to laplacetransform x+k*x is 1/(s^2)+k/(s^2)

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laplacetransform x+k*x

laplace transform

x + k \cdot x

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

Solution steps

L {x + k 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)}

= L {x} + k L {x}

L {x} : \frac{1}{s ^{2}}

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

Refine

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

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

\frac{d}{d x} (\frac{2 - 3 x}{7 - x})

\int (e^{x} cos (y) - x - 2) d y

\int f^{2} (x) d x

\frac{d}{d x} ((2 x - 3)^{3})

\frac{\partial}{\partial x} (4 x + y)

What is laplacetransform x+k*x ?
The answer to laplacetransform x+k*x is 1/(s^2)+k/(s^2)