What is laplacetransform 5y ?

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

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laplacetransform 5y

laplace transform

5 y

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

Solution steps

L {5 y}

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 {y}

L {y} : \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} (\frac{d y}{d x}) + y = 7 sin (x)

\int \frac{0.8 ( 3 + ln ( u ) ) ^{3}}{u} d u

y = 2 x^{3} - 8 x, (2, 0)

\int (\frac{3 x ^{3} + 2 x}{x}) d x

y = x + 2, y = x^{2}