What is laplacetransform 5-3t ?

The answer to laplacetransform 5-3t is 5/s-3/(s^2)

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laplacetransform 5-3t

laplace transform

5 - 3 t

\frac{5}{s} - \frac{3}{s ^{2}}

Solution steps

L {5 - 3 t}

Use the linearity property of Laplace Transform:

For functions

f (t), g (t)

and constants

a, b : L {a \cdot f (t) + b \cdot g (t)} = a \cdot L {f (t)} + b \cdot L {g (t)}

= L {5} - 3 L {t}

L {5} : \frac{5}{s}

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

= \frac{5}{s} - 3 \cdot \frac{1}{s ^{2}}

Refine

\frac{5}{s} - 3 \frac{1}{s ^{2}} : \frac{5}{s} - \frac{3}{s ^{2}}

= \frac{5}{s} - \frac{3}{s ^{2}}

x^{^{'}} + 2 x = e^{- 2 t} cos (t)

\int y ln (y) d y

f (x) = x + 1

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

\frac{d}{d x} (\frac{sin ( y )}{sin ( x )})

What is laplacetransform 5-3t ?
The answer to laplacetransform 5-3t is 5/s-3/(s^2)