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Consider the differential equation for y(x): a) d²y dz² Consider the auxiliary equation for this ODE. Its roots are: O Real and distinct Real and repeated O Complex +6- +9y=0. da b) Find the solution which satisfies y(0) = 5 and y(1) = 6. 3r y(x) = (5+ (6e^3-5) x) e^(-3x) (5+ (6e³-5) x) e-

Consider the differential equation for y(x): a) d²y dz² Consider the auxiliary equation for this ODE. Its roots are: O Real and distinct Real and repeated O Complex +6- +9y=0. da b) Find the solution which satisfies y(0) = 5 and y(1) = 6. 3r y(x) = (5+ (6e^3-5) x) e^(-3x) (5+ (6e³-5) x) e-

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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Consider the differential equation for y(x): a) d²y dy da² da Consider the auxiliary equation for this ODE. Its roots are: O Real and distinct Real and repeated O Complex +6 +9y=0. b) Find the solution which satisfies y(0) = 5 and y(1) = 6. y(x) = (5+ (6e^3-5) x) e^(-3x) (5+ (6e³-5) x) e-3r
Transcribed Image Text:Consider the differential equation for y(x): a) d²y dy da² da Consider the auxiliary equation for this ODE. Its roots are: O Real and distinct Real and repeated O Complex +6 +9y=0. b) Find the solution which satisfies y(0) = 5 and y(1) = 6. y(x) = (5+ (6e^3-5) x) e^(-3x) (5+ (6e³-5) x) e-3r
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