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Differential Equations · 2015 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2015 · Shift 1
Mathematics
Differential Equations

Differential Equations · 2015 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q28.Let $y (x)$ be a solution of the differential equation $(1 + e^{x}) y^{'} + y e^{x} = 1.$ If $y (0) = 2$ , then which of the following statement is (are) true?
Mathematics · Differential Equations · Multiple correct
Q29.Consider the family of all circles whose centres lie on the straight line $y = x,$ If this family of circle is represented by the differential equation $P y^{''} + Q y^{'} + 1 = 0,$ where $x, y$ are functions of $y^{'}$ and $y^{'}$ $(h er e y^{'} = \frac{d y}{d x}, y^{''} = \frac{d ^{2} y}{d x ^{2}})$ …
Mathematics · Differential Equations · Multiple correct