Solve the differential equation dy/dx = e^(x+y).
Solve the differential equation dy/dx = e^(x+y).
- A. eˣ + e⁻ʸ = C
- B. eˣ − e⁻ʸ = C
- C. e⁻ˣ + eʸ = C
- D. e⁻ˣ − eʸ = C
Answer: A) eˣ + e⁻ʸ = C
Explanation: dy/dx = eˣ × eʸ. Separating variables: e⁻ʸ dy = eˣ dx. Integrating gives −e⁻ʸ = eˣ + c, which can be written as eˣ + e⁻ʸ = C.
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