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a) Solve the initial value problem where ổ is the Dirac delta function. y" + 2y' + y = 8(t – n) ,y(0) = 0 ,y'(0) = 0 Write your answer in terms of the Unit Step Function (Heaviside function H).

a) Solve the initial value problem where ổ is the Dirac delta function. y" + 2y' + y = 8(t – n) ,y(0) = 0 ,y'(0) = 0 Write your answer in terms of the Unit Step Function (Heaviside function H).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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b) Find L{e™t f(t – e)H (t – e)} c) Express f(t) in terms of Heaviside functions H (t – a). 0<t<1 1<t< 2 2<t< 3 0, f (t) = . e* , In x, 3<t<4 0, 4 <t
Transcribed Image Text:b) Find L{e™t f(t – e)H (t – e)} c) Express f(t) in terms of Heaviside functions H (t – a). 0<t<1 1<t< 2 2<t< 3 0, f (t) = . e* , In x, 3<t<4 0, 4 <t
a) Solve the initial value problem where 8 is the Dirac delta function. y" + 2y' + y = 8(t – n) ,y(0) = 0 ,y'(0) = 0 Write your answer in terms of the Unit Step Function (Heaviside function H).
Transcribed Image Text:a) Solve the initial value problem where 8 is the Dirac delta function. y" + 2y' + y = 8(t – n) ,y(0) = 0 ,y'(0) = 0 Write your answer in terms of the Unit Step Function (Heaviside function H).
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