Home
Class 12
MATHS
Find the differential equartion of the f...

Find the differential equartion of the family of curves `y=Ae^(x)+Be^(-x),` where A and B are arbitrary constants.

A

`y_(2)=-y`

B

`y_(1)=y`

C

`y_(2)=y`

D

`y_(2)=y_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT - CET EXAM QUESTIONS)|13 Videos
  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos
  • CONTINUITY F FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|131 Videos
  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

Similar Questions

Explore conceptually related problems

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

Find the differential equation of the family of curves y=Ae^x+Be^-x , where A and B are arbitrary constants.

Find the differential equation of the family of curves : y=Ae^(2x)+Be^(3x) .

The differential equation of the family of curves y=e^(x)(A cos x+B sin x), where A and B are arbitrary constants is

Find the differential equation of the family of curves y=e^x(Acosx +Bsinx) where A,B are arbitrary constants. Also write its order and degree.

Form the differential equation of family of curves y = ae^(2x) + be^(3x) , where a, b are arbitrary constants.

Find the differential equation of the family of curves,x=A cos nt+B sin nt, where A and B are arbitrary constants.

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