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Author Jonathan David
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Home » Archive » Research Position » ODE » ODE – Dirac Delta Function and Unit Impulse Function
ODE Volume 1: Notations

ODE – Dirac Delta Function and Unit Impulse Function

by admin|Published August 14, 2026

[complete] [11] 7.6.7 – ODE – Dirac Delta Function and Unit Impulse Function with Laplace Transform on ODEDownload ODE – Dirac Delta Function and Unit Impulse Function QUESTION [11] 7.6.7 Solve the second order ODE using method of Laplace Transform, \displaystyle y''+2y'=\delta(t-1),\qquad y(0)=0,\qquad y'(0)=1. ANSWER \displaystyle y=\frac12-\frac12e^{-2t}+\left[\frac12-\frac12e^{-2(t-1)}\right]\mathcal{U}(t-1) Before we begin investigating this unique…

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