Using the Fourier Transform svolve the following differential equations in -o < x < 0 : a) y"(x) – y(x) + 2f(x) = 0, where f (x) = 0 when x<-a and when x > a and y(x) and their derivatives vanish at x → ±o.
Using the Fourier Transform svolve the following differential equations in -o < x < 0 : a) y"(x) – y(x) + 2f(x) = 0, where f (x) = 0 when x<-a and when x > a and y(x) and their derivatives vanish at x → ±o.
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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Transcribed Image Text:Using the Fourier Transform svolve the following differential equations
in -00 < x < :
a) y"(x) – y(x) + 2f(x) = 0, where f(x) = 0 when x <-a and when
x > a and y(x) and their derivatives vanish at x → ±∞.
b) 2y'(x) + xy' (x) + y(x) = 0
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