Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Differential Equations question

2010 · Shift 0 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differential Equations
  5. /2010 · Shift 0 · Q33

Differential Equations question

2010 · Shift 0 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1
Solution of the differential equation cos⁡x dy=y(sin⁡x−y)dx,  0<x<π2\cos x\,dy = y\left( {\sin x - y} \right)dx,\,\,0 \lt x \lt {\pi \over 2}cosxdy=y(sinx−y)dx,0<x<2π​ is :
  1. A
    ysec⁡x=tan⁡x+cy\sec x = \tan x + cysecx=tanx+c
  2. B
    ytan⁡x=sec⁡x+cy\tan x = \sec x + cytanx=secx+c
  3. C
    tan⁡x=(sec⁡x+c)y\tan x = \left( {\sec x + c} \right)ytanx=(secx+c)y
  4. D
    sec⁡x=(tan⁡x+c)y\sec x = \left( {\tan x + c} \right)ysecx=(tanx+c)y
PreviousNext

More from Differential Equations

  • The solution of the differential equation dxdy​=xx+y​ satisfying the condition y(1)=1 is :2008 · MCQ
  • The differential equation whose solution is Ax2+By2=1 where A and B are arbitrary constants is of2006 · MCQ
  • The differential equation representing the family of curves y2=2c(x+c​), where c>0, is a parameter, is of order and degree as follows:2005 · MCQ
  • If xdxdy​=y(logy−logx+1), then the solution of the equation is :2005 · MCQ
  • Solution of the differential equation ydx+(x+x2y)dy=0 is2004 · MCQ
  • The solution of the differential equation (1+y2)+(x−etan−1y)dxdy​=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 dx2d2y​=e−2x2002 · MCQ