Diff EqImpulse

Dirac Delta Function in ODEs

Solve ODEs with impulse forcing using L{δ(t−a)} = e^(−as). Solution is piecewise via the second shifting theorem.

Live Calculator · Step-by-Step · Differential Equations

IVP with Impulse Forcing

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Results

IVP

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Y(s)

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Solution y(t)

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Impulse Time a

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Step-by-Step Work

Select an IVP and solve.

Solution y(t) — dashed vertical line marks impulse time