What is laplacetransform 10x ?

The answer to laplacetransform 10x is (10)/(s^2)

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laplacetransform 10x

laplace transform

10 x

\frac{10}{s ^{2}}

Solution steps

L {10 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)}

= 10 L {x}

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

= 10 \cdot \frac{1}{s ^{2}}

Refine

10 \frac{1}{s ^{2}} : \frac{10}{s ^{2}}

= \frac{10}{s ^{2}}

\frac{d x}{d y}, x y = 1

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

\int (\frac{9}{x ^{2} + 9})^{2} d x

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

y^{^{'}} + 2 x y = 4 x