Characteristic Equations with Complex Roots

Author: John J Weber III, PhD Corresponding Textbook Sections:

Expected Educational Results

Homogeneous Equations

Constant Coefficient Method

Investigation 13

Solve the following nth-order homogeneous DEs using linear combination of n linearly-independent solutions:

  1. y2y2y=0

  2. y+3y+6y=0

  3. 36y36y+13y=0

  4. y+y+y=0

  5. y+3y=0

  6. y(4)+y2y=0

  7. y(4)+32y+256y=0

  8. y(5)5y+4y=0

  9. y(5)(t)+y(4)(t)+4y(t)+3y(t)+3y(t)=0

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Last Modified: Monday, 6 September 2020 13:33 EDT