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Find the particular solution of dy/dx = 4y, given y(0) = 2.

Practice Questions

1 question
Q1
Find the particular solution of dy/dx = 4y, given y(0) = 2.
  1. y = 2e^(4x)
  2. y = e^(4x)
  3. y = 4e^(2x)
  4. y = 2e^(x/4)

Questions & Step-by-step Solutions

1 item
Q
Q: Find the particular solution of dy/dx = 4y, given y(0) = 2.
Solution: The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).
Steps: 0

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