The integrating factor of the linear DE dx/dy + Px = Q (where P and Q are functions of y) is:
The integrating factor of the linear DE dx/dy + Px = Q (where P and Q are functions of y) is:
- A. e^(∫P dx)
- B. e^(∫P dy)
- C. e^(∫Q dx)
- D. e^(∫Q dy)
Answer: B) e^(∫P dy)
Explanation: For a linear differential equation in x (dx/dy + Px = Q), the integrating factor is always taken with respect to y, which is e^(∫P dy).
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