What is laplacetransform 2t+3 ?

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

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laplacetransform 2t+3

laplace transform

2 t + 3

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

Solution steps

L {2 t + 3}

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)}

= 2 L {t} + L {3}

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

L {3} : \frac{3}{s}

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

Refine

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

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

y = x, y = x^{2}

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

f (x) = 4 x + \frac{6}{x x}

\int \frac{2 z}{z ^{2} + 1} d z

\frac{\partial}{\partial s} (ln (r s^{8} t^{8}) + 1)

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