What is laplacetransform 3t+2 ?

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

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laplacetransform 3t+2

laplace transform

3 t + 2

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

Solution steps

L {3 t + 2}

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 {2}

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

L {2} : \frac{2}{s}

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

Refine

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

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

y^{^{''}} + 2 y + y = 0

f (x) = (\frac{5}{x ^{2} + 1}), at x = - 1

y^{^{'}} = 2 e^{(6 x - y)}

\int (x^{2} + x) e^{2 x} d x

\frac{\partial}{\partial z} (2 yz)

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