What is laplacetransform-5t ?

The answer to laplacetransform-5t is -5/(s^2)

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laplacetransform-5t

laplace transform

- 5 t

- \frac{5}{s ^{2}}

Solution steps

L {- 5 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)}

= - 5 L {t}

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

= - 5 \cdot \frac{1}{s ^{2}}

Refine

- 5 \frac{1}{s ^{2}} : - \frac{5}{s ^{2}}

= - \frac{5}{s ^{2}}

\frac{d}{d x} (arcsin (3 x^{4}))

(2, 8), (4, 6)

\frac{d y}{d x} = \frac{6 y ^{3}}{( 3 - 2 x ) ^{2}}, y (0) = - 1

\int \frac{t ^{2}}{2} d t

x \to 0 lim (\frac{ln ( x )}{x})