Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202017 Sep 2020Evening ShiftMathematicsDifferential EquationsActual

If (c₁, c₂, c₃, c₄, c₅ ) are arbitrary constants, then the order of the differential equation whose general solution is (y= (c₁+c₂ ) (x+c₃ )+c₄ e^ x+c₅ ) is

Options

  1. A3
  2. B5
  3. C4
  4. DNot defined

Correct answer

A. 3

Step-by-step solution

General solution of differential equation is, (y= (C₁+C₂ ) (x+C₃ )+C₄ e^ x+C₅ ) Here solution is of form; ( aligned & y=A (x+C₃ )+B e^x & [ C₁+C₂=A, C₄ e^c=B ] aligned ) So, there are 3-arbitrary constants, (A₁ C₃ ) and (B ) Now, order of differential equation (= ) number of arbitrary constants in general solution. So, order of differential equation is 3.

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