What is laplacetransform e^2t^2 ?

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

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laplacetransform e^2t^2

laplace transform

e^{2} t^{2}

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

Solution steps

L {e^{2} t^{2}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= e^{2} L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

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

Refine

e^{2} \frac{2}{s ^{3}} : \frac{2 e ^{2}}{s ^{3}}

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

sin (x) + x cos (x)

\frac{4}{x}, at x = \frac{1}{9}

\frac{d}{d x} (\frac{x ^{3}}{3} - x^{2} - 15 x)

x \to 1 lim (\frac{x ^{2} + 3}{x - 1})

\int_{2}^{3} x^{3} d x

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