New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differential Equations question

2016 · 10 Apr · Shift 1 · Q35

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

PYQ Library
JEE Main
Mathematics
Differential Equations
2016 · 10 Apr · Shift 1 · Q35

Differential Equations question

2016 · 10 Apr · Shift 1 · Q35

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The solution of the differential equation

{{dy} \over {dx}}\, + \,{y \over 2}\,\sec x = {{\tan x} \over {2y}},\,\,

where 0

\le

x <

{\pi \over 2}

, and y (0) = 1, is given by :

A
y = 1 $-{x \over {\sec x + \tan x}}$
B
y2 = 1 + ${x \over {\sec x + \tan x}}$
C
y2 = 1 $-{x \over {\sec x + \tan x}}$
D
y = 1 + ${x \over {\sec x + \tan x}}$

More from Differential Equations

If a curve $y = f (x)$ passes through the point $(1, - 1)$ and satisfies the differential equation, $y (1 + x y) d x = x d y$ , then $f (- \frac{1}{2})$ is equal to :2016 · MCQ
Let $y (x)$ be the solution of the differential equation $(x lo g x) \frac{d y}{d x} + y = 2 x lo g x, (x \geq 1) .$ Then $y (e)$ is equal to :2015 · MCQ
Let the population of rabbits surviving at time $t$ be governed by the differential equation $\frac{d p ( t )}{d t} = \frac{1}{2} p (t) - 200.$ If $p (0) = 100,$ then $p (t)$ equals:2014 · MCQ
At present, a firm is manufacturing $2000$ items. It is estimated that the rate of change of production P w.r.t. additional number of workers $x$ is given by $\frac{d p}{d x} = 100 - 12 x .$ If the firm employs $25$ more workers,…2013 · MCQ
The population $p (t)$ at time $t$ of a certain mouse species satisfies the differential equation $\frac{d p ( t )}{d t} = 0.5 p (t) - 450.$ If $p (0) = 850,$ then the time at which the population becomes zero is…2012 · MCQ
If $\frac{d y}{d x} = y + 3 > 0$ and $y (0) = 2,$ then $y (ln 2)$ is equal to :2011 · MCQ
Let $I$ be the purchase value of an equipment and $V (t)$ be the value after it has been used for $t$ years. The value $V (t)$ depreciates at a rate given by differential equation $\frac{d v ( t )}{d t} = - k (T - t),$ …2011 · MCQ
Solution of the differential equation $cos x d y = y (sin x - y) d x, 0 < x < \frac{π}{2}$ is :2010 · MCQ