What is laplacetransform 10t ?

The answer to laplacetransform 10t is (10)/(s^2)

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laplacetransform 10t

laplace transform

10 t

\frac{10}{s ^{2}}

Solution steps

L {10 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)}

= 10 L {t}

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

= 10 \cdot \frac{1}{s ^{2}}

Refine

10 \frac{1}{s ^{2}} : \frac{10}{s ^{2}}

= \frac{10}{s ^{2}}

y^{^{'}} = - 6.2 - 1.8 y

y = \frac{18}{x ^{4}}

\frac{d}{d x} (cos (e^{x^{4} c o s (x)}))

x \to 0 lim (\frac{2 ∣ x ∣}{3 x})

y = e^{9 - x}