Home
Class 12
MATHS
Find the differential equation correspon...

Find the differential equation corresponding to the family of curves represented by the equation `y=Ae^(8x)+Be^(-8x)`, where A and B are arbitrary constants.

Text Solution

Verified by Experts

The correct Answer is:
64 y
Promotional Banner

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise EXERCISE 10.4|8 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise EXERCISE 10.5|4 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    FULL MARKS|Exercise EXERCISE 10.2|2 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    FULL MARKS|Exercise EXERCISE -4.6|20 Videos
  • PROBABILITY DISTRIBUTIONS

    FULL MARKS|Exercise Additional Problems|27 Videos

Similar Questions

Explore conceptually related problems

Find the differential equation of the family of curves Ax^(2)+By^(2)=1.

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 for the family of curves y = c\ sinx can be given by

The differential equation of the family of curves y=Ae^(x)+be^(-x) , where A and B are arbitrary constant is

Find the differential equation of the curve represented by xy=ae^(x)+be^(-x)+x^(2).

From the differential equation corresponding to the function (x)/(a)+(y)/(b)=2 .

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

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