Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202423 May 2024Morning ShiftMathematicsDifferential EquationsActual

The differential equation for which a x+b y=1 is general solution is

Options

  1. Ad y d x =x+c
  2. By d^2 y d x^2 +x=1
  3. Cd y d x
  4. Dd^3 y d x^3 =0

Correct answer

C. d y d x

Step-by-step solution

a x+b y=1 Differentiating w.r.t. xa+b d y d x =0 d y d x = -a b Differentiating w.r.t. x d^2 y d x^2 =0 is the required differential equation.

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 AP EAMCET PYQs