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Differential Equations · 2022 · 27 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

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2022 · 27 Jul · Shift 1
Mathematics
Differential Equations

Differential Equations · 2022 · 27 Jul · Shift 1

2 Mathematics questions from this JEE Main paper

Q33.Let $y = y_{1} (x)$ and $y = y_{2} (x)$ be two distinct solutions of the differential equation $\frac{d y}{d x} = x + y$ , with $y_{1} (0) = 0$ and $y_{2} (0) = 1$ respectively. Then, the number of points of intersection of $y = y_{1} (x)$ and $y = y_{2} (x)$ is
Mathematics · Differential Equations · MCQ
Q42.Let $y = y (x)$ be the solution curve of the differential equation $sin (2 x^{2}) lo g_{e} (tan x^{2}) d y + (4 x y - 42 x sin (x^{2} - \frac{π}{4})) d x = 0$ , $0 < x < \frac{π}{2}$ …
Mathematics · Differential Equations · Numerical