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Solve the differential equation y'' - 5y' + 6y = 0.

Practice Questions

1 question
Q1
Solve the differential equation y'' - 5y' + 6y = 0.
  1. y = C1 e^(2x) + C2 e^(3x)
  2. y = C1 e^(3x) + C2 e^(2x)
  3. y = C1 e^(x) + C2 e^(2x)
  4. y = C1 e^(2x) + C2 e^(x)

Questions & Step-by-step Solutions

1 item
Q
Q: Solve the differential equation y'' - 5y' + 6y = 0.
Solution: The characteristic equation is r^2 - 5r + 6 = 0, which factors to (r - 2)(r - 3) = 0, giving the solution y = C1 e^(2x) + C2 e^(3x).
Steps: 0

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