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Differential Equations · 2022 · 25 Jun · Shift 1

3 Mathematics questions from this JEE Main paper

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2022 · 25 Jun · Shift 1
Mathematics
Differential Equations

Differential Equations · 2022 · 25 Jun · Shift 1

3 Mathematics questions from this JEE Main paper

Q32.Let $g : (0, \infty) \to R$ be a differentiable function such that $\int (\frac{x ( c o s x - s i n x )}{e ^{x} + 1} + \frac{g ( x ) ( e ^{x} + 1 - x e ^{x} )}{( e ^{x} + 1 ) ^{2}}) d x = \frac{x g ( x )}{e ^{x} + 1} + c$ …
Mathematics · Differential Equations · MCQ
Q35.Let $y = y (x)$ be the solution of the differential equation $(x + 1) y^{'} - y = e^{3 x} (x + 1)^{2}$ , with $y (0) = \frac{1}{3}$ . Then, the point $x = - \frac{4}{3}$ for the curve $y = y (x)$ is :
Mathematics · Differential Equations · MCQ
Q36.If the solution curve $y = y (x)$ of the differential equation $y^{2} d x + (x^{2} - x y + y^{2}) d y = 0$ , which passes through the point (1, 1) and intersects the line $y = 3 x$ at the point $(α, 3 α)$ , then value of $lo g_{e} (3 α)$ …
Mathematics · Differential Equations · MCQ