Solve the given system of differential equations by systematic elimination.D²x - Dy = t(D+ 4)x+ (D+ 4)y = 3C₁+c₂e(x(t), y(t)) =-t+ -4tcze3-t+ + 1⁄2 ²2², ²/17 - ₁2-₂²-²-4c3e-4t+t-1/²² +9₁

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Answered: Solve the given system of differential…

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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Solve the given system of differential equations by systematic elimination. D²x - Dy = t (D + 4)x+ (D+ 4)y = 3 __+ + €3² (x(t), y(t)) = q₁ + c₂e -4t 3 -t+ +2 12/212²2, ²2/12 - 1₁ - ²₂ ²²- ²-4c3e 4t +t- - 12/2²2² +91 4