Let y ( x ) be a solution of the differential equation (1 + e x ) y ′ + ye x = 1 . If y…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
Let y(x) be a solution of the differential equation
(1 + ex)y′ + yex = 1 . If y(0) = 2, then which of the following statements is (are) true?
(1 + ex)y′ + yex = 1 . If y(0) = 2, then which of the following statements is (are) true?
- y(–4) = 0
- y(–2) = 0
- y(x) has a critical point in the interval (–1, 0)
- y(x) has no critical point in the interval (–1, 0)
Answer
(C) y ( x ) has a critical point in the interval (–1, 0)
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