Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202312 May 2023Evening ShiftMathematicsDifferential EquationsActual

If (2+ x) d y ~d x +(y+1) x=0 and y(0)=1 , then y ( 2 ) is

Options

  1. A-2 3
  2. B-1 3
  3. C4 3
  4. D1 3

Correct answer

D. 1 3

Step-by-step solution

array ll & (2+ x) d y ~d x +(y+1) x=0 & 1 y+1 ~d y= - x 2+ x ~d x & Integrating both sides, we get & (y+1)=- (2+ x)+ c (i) & when x=0, y=1 & c =2 2 & ( i ) (y+1)=- (2+ x)+ 4 & (y+1)= ( 4 2+ x ) & y+1= 4 2+ x & When x= 2 , (ii) y= 4 3 -1= 1 3 array

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 MHT CET PYQs