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Present a second order differential equation. Identify the corresponding auxiliary equation. Classify its roots. Find the associated fundamental set of solutions. State the general solution. Example: DE: y*+2y'+5y =0 AE: m²+2m+5=0 Roots: -1+2i, -1 -2i complex conjugate FSS: {e-*cos2x, e-*sin2x} GS: y = ex(c₁cos2x+c₂sin2x)

Present a second order differential equation. Identify the corresponding auxiliary equation. Classify its roots. Find the associated fundamental set of solutions. State the general solution. Example: DE: y*+2y'+5y =0 AE: m²+2m+5=0 Roots: -1+2i, -1 -2i complex conjugate FSS: {e-*cos2x, e-*sin2x} GS: y = ex(c₁cos2x+c₂sin2x)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Present a second order differential equation. Identify the corresponding auxiliary equation. Classify its roots. Find the associated fundamental set of solutions. State the general solution. Example: DE: y"+2y'+5y = 0 AE: m²+2m+5=0 Roots: -1+2i, -1 -2i complex conjugate FSS: {e-*cos2x, e-*sin2x} GS: y = eX(c₁cos2x+c2sin2x)
Transcribed Image Text:Present a second order differential equation. Identify the corresponding auxiliary equation. Classify its roots. Find the associated fundamental set of solutions. State the general solution. Example: DE: y"+2y'+5y = 0 AE: m²+2m+5=0 Roots: -1+2i, -1 -2i complex conjugate FSS: {e-*cos2x, e-*sin2x} GS: y = eX(c₁cos2x+c2sin2x)
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