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GUJCET · Maths · Differential Equations
The general solution of the differential equation \(\frac{d y}{d x}=e^{y-x}\) is ___________ .
- A \(e^{-x}-e^{-y}=c\)
- B \(e^x-e^y=c\)
- C \(e^{-x}-e^y=c\)
- D \(e^x-e^{-y}=c\)
Answer & Solution
Correct Answer
(A) \(e^{-x}-e^{-y}=c\)
Step-by-step Solution
Detailed explanation
\(\frac{d y}{d x}=e^y e^{-x}\) \(e^{-y} dy = e^{-x} dx\)
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