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What is the solution to the equation y'' + 4y = 0?

Practice Questions

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

Questions & Step-by-step Solutions

1 item
Q
Q: What is the solution to the equation y'' + 4y = 0?
Solution: The characteristic equation is r^2 + 4 = 0, giving complex roots. The general solution is y = C1 cos(2x) + C2 sin(2x).
Steps: 0

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