Home
Class 11
MATHS
If y=a+bx^(2), where a, b are arbitrary ...

If `y=a+bx^(2)`, where a, b are arbitrary constants, then

A

`(d^(2)y)/(dx^(2))=2xy`

B

`x(d^(2)y)/(dx^(2))=y_(1)`

C

`x(d^(2)y)/(dx^(2))-(dy)/(dx)+y=0`

D

`x(d^(2)y)/(dx^(2))=2xy`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-B (2 MARKS)|4 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-C (3 MARKS)|6 Videos
  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.5|25 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos
  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

If xy=a^(2) where a is arbitrary constant then :

If y = ax^(2)+bx + c = 0 where a,b,c are arbitrary constants then the differential equation is :

Show what y=ae^(-3x)+b, where a and b are arbitary constants, is a solution of the differential equation (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

From the differential equation representing the family of curves y=asin(x+b), where a,b are arbitrary constants.

Form the differential equation representing the family of curves given by (x - a)^(2) + 2y^(2) = a^(2) , where a is an arbitrary constant.

On finding the differential equation corresponding to y=e^(mx) where m is the arbitrary constant, then m is _________.

If y=x/(log|cx|) (where c is an arbitrary constant) is the general solution of the differential equation (dy)/(dx)=y/x+varphi(x/y), then the function varphi(x/y) is

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

The differential equation whose solution is A x^2+B y^2=1 , where A and B are arbitrary constants, is of (a) second order and second degree (b) first order and second degree (c) first order and first degree (d) second order and first degree