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Transform the differential equation y" - 2y" +8y-y=t into a system of first order equations. 1₁ = U2₁ 1²₂ = 13, 3= 2u₁ - 8u₂+uz+t 1₁ = U₂₁ 1/₂ = U3, Uz = -2₁ +8₂ -Uz +t O A B 1₁ = 12₁ 1²₂ = 13, 3= 203-80₂ + +t 1₁ = U2₁ 1/₂ = 13, uz = 2u2 - 8u3+₁+t O C O D

Transform the differential equation y" - 2y" +8y-y=t into a system of first order equations. 1₁ = U2₁ 1²₂ = 13, 3= 2u₁ - 8u₂+uz+t 1₁ = U₂₁ 1/₂ = U3, Uz = -2₁ +8₂ -Uz +t O A B 1₁ = 12₁ 1²₂ = 13, 3= 203-80₂ + +t 1₁ = U2₁ 1/₂ = 13, uz = 2u2 - 8u3+₁+t O C O D

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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Transform the differential equation

Transform the differential equation y" - 2y" + 8y - y = t into a system of first order equations. 2²₁ = 12₁ 1²₂ = 13, 3 = 2u₁ - 8u₂+uz+t 1₂ = 1₂₁ 1²₂ = U3, Uz = −2u₁ +8uz-uz+t O A B 1/₁ = U₂₁ 1/₂ = Uz, uz = 2u3 - 8u₂+₁ +t 1²₁ = 1₂₁ 1²₂ = 13, uz = 2u2 - 8u3+ U₁ + t O C O D
Transcribed Image Text:Transform the differential equation y" - 2y" + 8y - y = t into a system of first order equations. 2²₁ = 12₁ 1²₂ = 13, 3 = 2u₁ - 8u₂+uz+t 1₂ = 1₂₁ 1²₂ = U3, Uz = −2u₁ +8uz-uz+t O A B 1/₁ = U₂₁ 1/₂ = Uz, uz = 2u3 - 8u₂+₁ +t 1²₁ = 1₂₁ 1²₂ = 13, uz = 2u2 - 8u3+ U₁ + t O C O D
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