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Question 370002
JEE Mathematics · Easy

Differential Equations: Separable DE MCQ

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Separable DEEasyQuestion 370002

Question

The differential equation dy/dx = y is solved by:
  1. A
    y = Ceˣ
    Correct
  2. B
    y = Cx
  3. C
    y = x + C
  4. D
    y = Ce^(−x)

Correct answer

y = Ceˣ

Explanation

Separate variables: dy/y = dx. Integrate: ln|y| = x + C₁ → y = Ce^x.

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