What is the Laplace transform of 0?

Answer: The Laplace transform of 0 is equal to L{0} = 0.

In this post, we learn to find the Laplace of zero. The formula of the Laplace transform of zero is given as follows:

L{0} = 0.

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Laplace Transform of 0

By definition, the Laplace of f(t) is given by the integral

L{f(t)} = $\int_0^\infty$ e^-st f(t) dt

Let f(t) = 0.

∴ L{0} = $\int_0^\infty$ (0 ⋅ e^-st) dt

= = $\int_0^\infty$ 0 dt

= 0

So the Laplace transform of 0 (zero) is 0.

Note: We know that the Laplace of a constant c is equal to c/s, so the Laplace of 0 will be equal to 0/s =0.

Answer: The Laplace transform of zero is equal to 0.

Answer: L{0} = 0.

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