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Differential Equations · 2022 · 29 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

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2022 · 29 Jun · Shift 2
Mathematics
Differential Equations

Differential Equations · 2022 · 29 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

Q29.If y = y(x) is the solution of the differential equation $(1 + e^{2 x}) \frac{d y}{d x} + 2 (1 + y^{2}) e^{x} = 0$ and y (0) = 0, then $6 (y^{'} (0) + (y (lo g_{e} 3))^{2})$ …
Mathematics · Differential Equations · MCQ
Q36.Let y = y(x), x > 1, be the solution of the differential equation $(x - 1) \frac{d y}{d x} + 2 x y = \frac{1}{x - 1}$ , with $y (2) = \frac{1 + e ^{4}}{2 e ^{4}}$ . If $y (3) = \frac{e ^{α} + 1}{β e ^{α}}$ , then the…
Mathematics · Differential Equations · Numerical