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Question 370007
JEE Mathematics · Hard

Differential Equations: JEE Main MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE MainHardQuestion 370007

Question

The general solution of dy/dx = e^(x+y) is:
  1. A
    e^(−y) + eˣ = C
    Correct
  2. B
    eˣ + e^(−y) = C
  3. C
    e^(−y) = eˣ + C
  4. D
    e^y = eˣ + C

Correct answer

e^(−y) + eˣ = C

Explanation

Separate: e^(−y) dy = eˣ dx. Integrate: −e^(−y) = eˣ + C₁ → e^(−y) = −eˣ + C → e^(−y) + eˣ = C.

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