What is laplacetransform 7-4t ?

The answer to laplacetransform 7-4t is 7/s-4/(s^2)

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laplacetransform 7-4t

laplace transform

7 - 4 t

\frac{7}{s} - \frac{4}{s ^{2}}

Solution steps

L {7 - 4 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 {7} - 4 L {t}

L {7} : \frac{7}{s}

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

= \frac{7}{s} - 4 \cdot \frac{1}{s ^{2}}

Refine

\frac{7}{s} - 4 \frac{1}{s ^{2}} : \frac{7}{s} - \frac{4}{s ^{2}}

= \frac{7}{s} - \frac{4}{s ^{2}}

\int_{0}^{1} 46 \frac{1}{x ^{p}} d x

\int \frac{1}{( 1 + 4 x ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{8}{x ^{4}} d x

\int (4 x^{3} - 2 x + 2) d x

What is laplacetransform 7-4t ?
The answer to laplacetransform 7-4t is 7/s-4/(s^2)