Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2010MathematicsDifferential Equations

The order and degree of the differential equation y= d p d x x= a² p²+b² , where p = dy dx (here a and b are arbitrary constants) respectively are

Options

  1. A2,2
  2. B1,1
  3. C1,2
  4. D2,1

Correct answer

A. 2,2

Step-by-step solution

Given differential equation is y = ( dp dx ) x + a ² p ²+ b ² , ( p = dy dx ) y = [ d dx ( dy dx ) ] x + a ² ( dy dx )²+ b ² ( y - x d ² y dx ² )= a ² ( dy dx )²+ b ² ( y - x d ² y dx )²= a ² ( dy dx )²+ b ² Hence, order =2 and degree =2

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 KCET PYQs