Diff EqConvolution

Convolution Theorem L{f*g} = F(s)G(s)

Compute (f*g)(t) = ∫₀ᵗ f(τ)g(t−τ)dτ and verify that L{f*g} = F(s)·G(s).

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Function Pair

Select f and g

Parameter a (for eᵃᵗ)

Parameter b (for eᵇᵗ, b ≠ a)

Results

f(t)

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g(t)

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(f*g)(t) — Convolution

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Verification: F(s)·G(s)

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Step-by-Step Work

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f(t), g(t), and (f*g)(t)

f(t)

g(t)

(f*g)(t)

Put It Into Practice

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