Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20225 Aug 2022Evening ShiftMathematicsDifferential EquationsActual

The particular solution of the differential equation d y d x =e^ 2 y x , when y ( 6 )=0 is

Options

  1. Ax - e ^ 2 y 2 =0
  2. B4 x-e^ -2 y -1=0
  3. Cx+e^ -2 y -2=0
  4. D2 x+e^ -2 y -2=0

Correct answer

D. 2 x+e^ -2 y -2=0

Step-by-step solution

aligned & d y d x =e^ 2 y x e^ 2 y d y= d x & e^ 2 y -2 = x+c aligned Putting x = 6 and y =0 we get c =-1 aligned & e^ -2 y -2 = x-1 & e^ -2 y =-2 x+2 & 2 x+e^ -2 y -2=0 aligned

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