Q15) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant coefficients are 0,0,0,2+51,2-51, then the general solutiom of this ODE, is: ₂x² + e2x [Acos(x) + Bsin(x)] a) c₂ + ₂x + b) c₂ + ₂x + c) ₂x + ₂x² ₂x² +ex (Acos(2x) + Bsin(2x)] + ₂x³ + e*[Acos(5x) + Bsin(5x)] d) G₂ +G₂x + ₂x² + ²x[Acos(5x) + Bsin(5x)]
Q15) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant coefficients are 0,0,0,2+51,2-51, then the general solutiom of this ODE, is: ₂x² + e2x [Acos(x) + Bsin(x)] a) c₂ + ₂x + b) c₂ + ₂x + c) ₂x + ₂x² ₂x² +ex (Acos(2x) + Bsin(2x)] + ₂x³ + e*[Acos(5x) + Bsin(5x)] d) G₂ +G₂x + ₂x² + ²x[Acos(5x) + Bsin(5x)]
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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