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Find the general solution to the following 2nd Order O.D.E., where y" = y" + y + y = 0 d² y(x) dx²

Find the general solution to the following 2nd Order O.D.E., where y" = y" + y + y = 0 d² y(x) dx²

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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= Find the general solution to the following 2nd Order O.D.E., where y" y" + y + y = 0 (³x) - ₂ - C₂ sin sin (√³7)} ○ y(x) = e. {c₁ cos (³0) - -x)+ + C₂ sin(x)} y(x) = e{c₁ cos y(x) = e{c₁ cos(x) + ₂ sin(x)} ○ y (x) = c₁ · e¯7 · cos (³x) + c₂ · ež · sin (√³x) ○ y(x) = c₁ ·e· cos(x) + c₂ · €¯ · sin (³x) d² y(x) dx²
Transcribed Image Text:= Find the general solution to the following 2nd Order O.D.E., where y" y" + y + y = 0 (³x) - ₂ - C₂ sin sin (√³7)} ○ y(x) = e. {c₁ cos (³0) - -x)+ + C₂ sin(x)} y(x) = e{c₁ cos y(x) = e{c₁ cos(x) + ₂ sin(x)} ○ y (x) = c₁ · e¯7 · cos (³x) + c₂ · ež · sin (√³x) ○ y(x) = c₁ ·e· cos(x) + c₂ · €¯ · sin (³x) d² y(x) dx²
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