Home
Class 12
MATHS
Consider differential equation (x^(2)+1)...

Consider differential equation `(x^(2)+1).(d^(2)y)/(dx^(2))=2x.(dy)/(dx)`
Statement I For many member of this family `ytooo` as `xtooo.`
Statement II Any solution of this differential equation is a polynomial of odd degree with positive coefficient of maximum power.

A

Statement I is true ,and Statement II is the correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|15 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Differential Equations Exerise 5 :|3 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|13 Videos
  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

The degree of differential equation (d^(2)y)/(dx^(2))+y=x sin(dy)/(dx) is

The differential equation x(dy)/(dx)+(3)/((dy)/(dx))=y^(2)

Find the degree of the differential equation (d^(2)y)/(dx^(2)) - (dy)/(dx) - 6y = 0

The degree of the differential equation (d^2y)/(dx^2)+e^(dy//dx)=0.

Solve the differential equation : (dy)/(dx)-y/x=2x^2

Solution of the differential equation (x-y)^2(dy/dx)=a^2 is

The degree of differential equation (d^(2)y)/(dx^(2))+((dy)/(dx))^(3)+6y^(5)=0 is

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

Find the degree of the differential equation ((d^(2)y)/(dx^(2)))^((2)/(3))-(dy)/(dx) - y = 0

solution of differential equation (dy)/(dx)=(y-x)^(2) is: