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What is the solution to the first-order linear differential equation dy/dx + y = e^x?

Practice Questions

1 question
Q1
What is the solution to the first-order linear differential equation dy/dx + y = e^x?
  1. y = e^x + Ce^(-x)
  2. y = e^x - Ce^(-x)
  3. y = Ce^x - e^x
  4. y = Ce^(-x) + e^x

Questions & Step-by-step Solutions

1 item
Q
Q: What is the solution to the first-order linear differential equation dy/dx + y = e^x?
Solution: Using the integrating factor e^x, we solve to get y = e^x + Ce^(-x).
Steps: 0

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