Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET2011MathematicsDifferential Equations

If m and n are order and degree of the equation ( d² y d x² )⁵+4 ( d² y d x² )³ ( d³ y d x³ ) + ( d³ y d x³ )=x²-1 , then

Options

  1. Am=3, n=3
  2. Bm=3, n=2
  3. Cm=3, n=5
  4. Dm=3, n=1

Correct answer

B. m=3, n=2

Step-by-step solution

The given differential equation can be rewritten as array l ( d² y d x² )⁵ d³ y d x³ +4 ( d² y d x² )³+ ( d³ y d x³ )² = (x²-1 ) d³ y d x³ order (m)=3 array and degree (n)=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 MHT CET PYQs