Characteristic Equations with Complex Roots

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

Expected Educational Results

Homogeneous Equations

Solving IVPs

Investigation 14

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

  1. y+4y+5y=0; y(0)=0 and y(0)=2

  2. y2y+2y=0; y(0)=1 and y(0)=0

  3. y(t)+3y(t)+6y(t)+8y(t)=0, y(0)=1, y(0)=3, y(0)=2

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