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Popular >

laplacetransform e^{3(t-2)}

Solution

laplace transform

e^{3 (t - 2)}

Solution

\frac{1}{e ^{6} ( s - 3 )}

Solution steps

L {e^{3 (t - 2)}}

Expand

e^{3 (t - 2)} : e^{3 t - 6}

= L {e^{3 t - 6}}

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)}

= e^{- 6} L {e^{3 t}}

L {e^{3 t}} : \frac{1}{s - 3}

= e^{- 6} \frac{1}{s - 3}

Refine

e^{- 6} \frac{1}{s - 3} : \frac{1}{e ^{6} ( s - 3 )}

= \frac{1}{e ^{6} ( s - 3 )}

Popular Examples

derivative of (2x/(3+x^2))

\frac{d}{d x} (\frac{2 x}{3 + x ^{2}})

integral of x*sqrt(1-x^2)

\int x \cdot 1 - x^{2} d x

derivative of f(x)=2x^2-3x+6 derivative of

f (x) = 2 x^{2} - 3 x + 6

derivative of f(x)=log_{2}(x^2+1)-2^3 derivative of

f (x) = lo g_{2} (x^{2} + 1) - 2^{3}

(\partial)/(\partial x)(y+3)

\frac{\partial}{\partial x} (y + 3)

Frequently Asked Questions (FAQ)

What is laplacetransform e^{3(t-2)} ?
The answer to laplacetransform e^{3(t-2)} is 1/(e^6(s-3))