What is laplacetransform 2x ?

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

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laplacetransform 2x

laplace transform

2 x

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

Solution steps

L {2 x}

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 {x}

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

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

Refine

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

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

f (x) = \frac{x}{7 - x}

h \to 0 lim (5 h^{2} + 8 h - 12)

\int_{- 5}^{2} (x^{2} + 3 x - 10) d x

\frac{1}{s ^{2} + 4 s + 5}

\int \frac{1}{1 + t ^{2}} d t