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Consider the initial value problem and find the solution: a. y" +5y" + 17y' + 13y = 0, b. y" + 4ay' + (4a² + 1)y = 0, y(0) = -2, y(0) = 2, y'(0) = 2, y'(0) = -3 y"(0) = 0 %3D

Consider the initial value problem and find the solution: a. y" +5y" + 17y' + 13y = 0, b. y" + 4ay' + (4a² + 1)y = 0, y(0) = -2, y(0) = 2, y'(0) = 2, y'(0) = -3 y"(0) = 0 %3D

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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Pls answer letter a. I need the answer asap. Thank you.
Consider the initial value problem and find the solution: a. y" + 5y" + 17y' + 13y = 0, b. y" + 4ay' + (4a² + 1)y = 0, y(0) = -2, y(0) = 2, y'(0) = 2, y'(0) = -3 y"(0) = 0
Transcribed Image Text:Consider the initial value problem and find the solution: a. y" + 5y" + 17y' + 13y = 0, b. y" + 4ay' + (4a² + 1)y = 0, y(0) = -2, y(0) = 2, y'(0) = 2, y'(0) = -3 y"(0) = 0
Two Distinct Real Roots y = c1e²1*+ c2edzx Real Double Root 1 = 11= 12 y = c1e%1*+ c2xedz* Complex Conjugate Roots 11 = a + ib d2 = a – ib %3D y = eax(c1 cos bx + c2 sin bx) %3D
Transcribed Image Text:Two Distinct Real Roots y = c1e²1*+ c2edzx Real Double Root 1 = 11= 12 y = c1e%1*+ c2xedz* Complex Conjugate Roots 11 = a + ib d2 = a – ib %3D y = eax(c1 cos bx + c2 sin bx) %3D
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