Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202014 Oct 2020Morning ShiftMathematicsDifferential EquationsActual

y=c²+ c x is the solution of the differential equation

Options

  1. Ax⁴ ( d y d x )²+x ( d y d x )-y=0
  2. Bx⁴ ( d y d x )²-x ( d y d x )-y=0
  3. Cx⁴ ( d y d x )²-x ( d y d x )+y=0
  4. Dx⁴ ( d y d x )²+x ( d y d x )+y=0

Correct answer

B. x⁴ ( d y d x )²-x ( d y d x )-y=0

Step-by-step solution

Given y=c²+ c x Differentiating w.r.t. x d y d x =0- c x² =- c x² c= (-x² ) ( d y d x ) Substituting value of c in given equation, We get aligned y &= [ (-x² ) ( d y d x ) ]²+ (-x² ) ( d y d x ) x &=x⁴ ( d y d x )²-x d y d x & x⁴ ( d y d x )²-x d y d x -y=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