What is laplacetransform 2y ?

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

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laplacetransform 2y

laplace transform

2 y

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

Solution steps

L {2 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)}

= 2 L {y}

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

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

Refine

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

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

\frac{x ^{2}}{1 + x ^{2}}

\frac{1}{x ^{7}} y^{^{'}} = 15 + 12 y

x \to 2 lim (\frac{x - 2}{x - 1})

\frac{d}{d x} (ln (1 + \frac{3}{x}))

(x^{2} + 1) y^{^{'}} = - 4 x (y - 1), y (0) = 8