What is laplacetransform 3t ?

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

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laplacetransform 3t

laplace transform

3 t

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

Solution steps

L {3 t}

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)}

= 3 L {t}

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

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

Refine

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

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

\int e - x d x

\int sin (6 θ) cos (2 θ) d θ

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

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

\frac{\partial}{\partial x} (sec (x y) + tan (x y))