Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2013MathematicsDifferential Equations

The general solution of the differential equation d y d x + 1+ 2 y 1- 2 y =0 is given by

Options

  1. Ay+ x=c
  2. By- x=c
  3. Cx- y=c
  4. Dx+ x=c

Correct answer

B. y- x=c

Step-by-step solution

We have, d y d x + 1+ 2 y 1- 2 x =0 d y d x =- ( 1+ 2 y 1- 2 x ) d y d x =- 2 ² y 2 ² x ² y d y=- cosec ² x d x ² y d y+ cosec ² x d x=0 y- x=c

Practice Differential Equations on Quantrex Academy →

More from Differential Equations

The general solution of the differential equation (x y x ) d y= (y y x -x ) d x is 2025The general solution of the differential equation (x+y) d y=d x is 2025If Ax ^3+ Bxy =4 (A and B are arbitrary constants) is the general solution of the differential equation F(x) d^2 y d x^2 +G(x) d y d x -2 y=0 , then F(1)+G(1)= 2025If y=A t^2+ B t (A,B are parameters) is general solution of the differential equation f(t) y^ (t)+g(t) y^ (t)+h(t) y=0 then 2 f(t)+t^2 h(t)= 2025The general solution of the differential equation (2 x-y)^2 d y-2(2 x-y)^2 d x-2 d x=0 is 2025The general solution of the differential equation x x d y=(x x-y) d x is 2025If a and b are arbitrary constants, then the differential equation corresponding to the family of curves y= (a x+b) is 2025The general solution of the differential equation x y(y+2) d y+ (y^3-1 ) d x=0 is 2025 Full Differential Equations list All COMEDK PYQs