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Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e- 2t and f₂(t)= e-6t d²y dt² +8 +12y = 0 dt y = C₁fi(t) + C₂f2(t)

Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e- 2t and f₂(t)= e-6t d²y dt² +8 +12y = 0 dt y = C₁fi(t) + C₂f2(t)

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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Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e - 2t and f₂(t) = e-6t d²y dt² dy +8 +12y = 0 dt y = C₁f1(t) + C2 f2 (t)
Transcribed Image Text:Find the general solution to the homogeneous differential equation The solution has the form with f₁(t) = e - 2t and f₂(t) = e-6t d²y dt² dy +8 +12y = 0 dt y = C₁f1(t) + C2 f2 (t)
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f1 does not equal e- 2t and f2 does not equal e - 6t

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