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Find the fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)

Find the fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)

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 fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)
Transcribed Image Text:Find the fundamental set of solutions of the following equations. No need to check Wron- skian. (a) y" + 7y' + 10y = 0 y = c₁e¯ -2t = -5t +Cze (b) y" — 4y' + 13y = 0 The two roots of the characteristic equation are 2 ± 3i y = c₁e²² cos(3t) + c2e²+ sin(3t)
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