New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differential Equations question

2019 · 10 Apr · Shift 1 · Q26

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

PYQ Library
JEE Main
Mathematics
Differential Equations
2019 · 10 Apr · Shift 1 · Q26

Differential Equations question

2019 · 10 Apr · Shift 1 · Q26

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If y = y(x) is the solution of the differential equation

{{dy} \over {dx}} = \left( {\tan x - y} \right){\sec ^2}x

,

x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)

, such that y (0) = 0, then

y\left( { - {\pi \over 4}} \right)

is equal to :

A
${1 \over 2} - e$
B
$e - 2$
C
$2 + {1 \over e}$
D
${1 \over e} - 2$

More from Differential Equations

Let y = y(x) be the solution of the differential equation, $\frac{d y}{d x} + y tan x = 2 x + x^{2} tan x$ , $x \in (- \frac{π}{2}, \frac{π}{2})$ , such that y(0) = 1. Then :2019 · MCQ
If $\frac{d y}{d x} + \frac{3}{c o s ^{2} x} y = \frac{1}{c o s ^{2} x}, x \in (\frac{- π}{3}, \frac{π}{3})$ and $y (\frac{π}{4}) = \frac{4}{3},$ then $y (- \frac{π}{4})$ …2019 · MCQ
Let f be a differentiable function such that f '(x) = 7 - $\frac{3}{4} \frac{f ( x )}{x},$ (x > 0) and f(1) $e$ 4. Then $x \to 0^{'} lim$ xf $(\frac{1}{x})$ :2019 · MCQ
The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes through (1, 1) is :2019 · MCQ
If y(x) is the solution of the differential equation $\frac{d y}{d x} + (\frac{2 x + 1}{x}) y = e^{- 2 x}, x > 0,$ where $y (1) = \frac{1}{2} e^{- 2},$ then2019 · MCQ
The solution of the differential equation, $\frac{d y}{d x}$ = (x – y)2, when y(1) = 1, is :2019 · MCQ
Consider the differential equation, $y^{2} d x + (x - \frac{1}{y}) d y = 0$ , If value of y is 1 when x = 1, then the value of x for which y = 2, is :2019 · MCQ
The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x $e$ 0) is : (where c is a constant of integration)2019 · MCQ