New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differential Equations question

2004 · Shift 0 · Q89

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Differential Equations
2004 · Shift 0 · Q89

Differential Equations question

2004 · Shift 0 · Q89

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Solution of the differential equation

ydx + \left( {x + {x^2}y} \right)dy = 0

is

A
$logy=Cx$
B
$- {1 \over {xy}} + \log y = C$
C
${1 \over {xy}} + \log y = C$
D
$- {1 \over {xy}} = C$

More from Differential Equations

The solution of the differential equation $(1 + y^{2}) + (x - e^{t a n^{- 1} y}) \frac{d y}{d x} = 0,$ is :2003 · MCQ
The degree and order of the differential equation of the family of all parabolas whose axis is $x$ -axis, are respectively.2003 · MCQ
The solution of the equation $\frac{d ^{2} y}{d x ^{2}} = e^{- 2 x}$ 2002 · MCQ
The order and degree of the differential equation $(1 + 3 \frac{d y}{d x})^{2/3} = 4 \frac{d ^{3} y}{d x ^{3}}$ are2002 · MCQ
Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + 2 y sec^{2} x = 2 sec^{2} x + 3 tan x \cdot sec^{2} x$ such that $y (0) = \frac{5}{4}$ . Then $12 (y (\frac{π}{4}) - e^{- 2})$ …2025 · Numerical
Let $g$ be a differentiable function such that $\int_{0}^{x} g (t) d t = x - \int_{0}^{x} tg (t) d t, x \geq 0$ and let $y = y (x)$ satisfy the differential equation $\frac{d y}{d x} - y tan x = 2 (x + 1) sec xg (x), x \in [0, \frac{π}{2})$ …2025 · MCQ
Let $y = y (x)$ be the solution of the differential equation $\frac{d y}{d x} + 3 (tan^{2} x) y + 3 y = sec^{2} x, y (0) = \frac{1}{3} + e^{3}$ . Then $y (\frac{π}{4})$ is equal to :2025 · MCQ
If a curve $y = y (x)$ passes through the point $(1, \frac{π}{2})$ and satisfies the differential equation $(7 x^{4} cot y - e^{x} cosec y) \frac{d x}{d y} = x^{5}, x \geq 1$ , then at $x = 2$ …2025 · MCQ