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{d}{d x} (\frac{1}{3 x ^{2}} - \frac{5}{2 x} + 8 x - 6)

\frac{d}{d x} (2 cos (- x))

\frac{( x )}{( x + 2 ) ( x - 3 )}

\int \frac{x ^{2} + x + 1}{( x ^{2} + 1 ) ^{2}} d x

x \frac{d y}{d x} = y^{2} - y