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Exercise 102

Avg difficulty 2.5

Suppose that the characteristic equation of a third-order differential equation has roots ±2i\pm 2i and 3.

  1. What is the characteristic equation?
  2. Find the corresponding differential equation.
  3. Find the general solution.

Lebl, Notes on Diffy Qs, §2.3 Higher-order linear ODEs, exercise 102

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.