Diff EqHeaviside

Heaviside Step Function & Shifted Functions

Work with u(t−a) in Laplace transforms. Express piecewise functions with unit steps; apply L{u(t−a)f(t−a)} = e^(−as)F(s).

Live Calculator · Step-by-Step · Differential Equations

Piecewise Function

Preset function

Step time a

Step time b

Value f₁ on [0,a)

Value f₂ on [a,b)

Results

Piecewise Definition

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Unit Step Form

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L{g(t)}

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Step-by-Step Work

Select a preset and compute.

Piecewise / Step Function g(t)