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What is the general solution of the equation y'' - 4y' + 4y = 0?

Practice Questions

1 question
Q1
What is the general solution of the equation y'' - 4y' + 4y = 0?
  1. y = (C1 + C2x)e^(2x)
  2. y = C1 e^(2x) + C2 e^(-2x)
  3. y = C1 e^(4x) + C2 e^(-4x)
  4. y = C1 cos(2x) + C2 sin(2x)

Questions & Step-by-step Solutions

1 item
Q
Q: What is the general solution of the equation y'' - 4y' + 4y = 0?
Solution: The characteristic equation has a repeated root r = 2. The general solution is y = (C1 + C2x)e^(2x).
Steps: 0

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