What is laplacetransform 3t+4 ?

The answer to laplacetransform 3t+4 is 3/(s^2)+4/s

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laplacetransform 3t+4

laplace transform

3 t + 4

\frac{3}{s ^{2}} + \frac{4}{s}

Solution steps

L {3 t + 4}

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)}

= 3 L {t} + L {4}

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

L {4} : \frac{4}{s}

= 3 \cdot \frac{1}{s ^{2}} + \frac{4}{s}

Refine

3 \frac{1}{s ^{2}} + \frac{4}{s} : \frac{3}{s ^{2}} + \frac{4}{s}

= \frac{3}{s ^{2}} + \frac{4}{s}

f (x) = x^{3} + x^{2} + x + 1

\int e^{x} cos (e^{x}) d x

y = e^{3 x}, y = e^{x}, [0, 1]

x y^{^{'}} - y = y^{3}

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