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Differential Equations · 2024 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

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2024 · 8 Apr · Shift 1
Mathematics
Differential Equations

Differential Equations · 2024 · 8 Apr · Shift 1

2 Mathematics questions from this JEE Main paper

Q36.Let $f (x)$ be a positive function such that the area bounded by $y = f (x), y = 0$ from $x = 0$ to $x = a > 0$ is $e^{- a} + 4 a^{2} + a - 1$ . Then the differential equation, whose general solution is $y = c_{1} f (x) + c_{2}$ , where $c_{1}$ and $c_{2}$ are arbitrary…
Mathematics · Differential Equations · MCQ
Q39.Let $y = y (x)$ be the solution of the differential equation $(1 + y^{2}) e^{t a n x} d x + cos^{2} x (1 + e^{2 t a n x}) d y = 0, y (0) = 1$ . Then $y (\frac{π}{4})$ is equal to
Mathematics · Differential Equations · MCQ