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Differential Equations · 2022 · 28 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

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JEE Main
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2022 · 28 Jun · Shift 2
Mathematics
Differential Equations

Differential Equations · 2022 · 28 Jun · Shift 2

2 Mathematics questions from this JEE Main paper

Q31.Let x = x(y) be the solution of the differential equation $2 y e^{x / y^{2}} d x + (y^{2} - 4 x e^{x / y^{2}}) d y = 0$ such that x(1) = 0. Then, x(e) is equal to :
Mathematics · Differential Equations · MCQ
Q32.Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 $tan x (cos x - y)$ . If the curve passes through the point $(\frac{π}{4}, 0)$ , then the value of $0 \int π /2 y d x$ is equal to :
Mathematics · Differential Equations · MCQ