What is laplacetransform-3y ?

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

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laplacetransform-3y

laplace transform

- 3 y

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

Solution steps

L {- 3 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)}

= - 3 L {y}

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

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

Refine

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

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

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

x \to - 4 lim (\frac{x ^{2} + 3 x - 4}{x + 4})

- x^{2} + 1

(x^{3} - 4 x) (5 x^{2} + 2 x)

\frac{d}{d x} (e^{x^{4} + 7 x})