d²x dt² d²y dt² −(t)) = = = 16y + et 16x - et 16c₁e -4t - + 16c₂e¹t — 16ccos (4t) — 16csin (4t) 16
d²x dt² d²y dt² −(t)) = = = 16y + et 16x - et 16c₁e -4t - + 16c₂e¹t — 16ccos (4t) — 16csin (4t) 16
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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Question
Transcribed Image Text:Solve the given system of differential equations by systematic elimination.
d²x
dt²
d²y
dt²
(x(t), y(t)) :
=
=
16y + et
= 16x - et
16c₁e
−4t + 16c²e¹ — 16c²cos (4t) — 16c sin(4t) + — +
17
16
X
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