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Question 370006
JEE Mathematics · Medium

Differential Equations: Particular solutions MCQ

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Particular solutionsMediumQuestion 370006

Question

If dy/dx = x and y(0) = 1, then y is:
  1. A
    y = x²/2 + 1
    Correct
  2. B
    y = x²/2
  3. C
    y = x + 1
  4. D
    y = eˣ

Correct answer

y = x²/2 + 1

Explanation

Integrate: y = x²/2 + C. Apply y(0) = 1: 1 = 0 + C → C = 1. Solution: y = x²/2 + 1.

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