Home
Class 12
MATHS
Find the differential equation of xy = a...

Find the differential equation of `xy = ae^x + be^(-x)`.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9c|13 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9d|37 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9a|10 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|44 Videos

Similar Questions

Explore conceptually related problems

The order and degree of the differential equation, of which xy = ce^x+ be^(-x)+ x^2 is a solution, is:

For all values of A and B , find the differential equation of y=Ae^(3x)+Be^(4x) .

If a is arbitrary constant, find the differential equation of x^2+y^2=a^2

Find the equation of the curve passing through origin and satisfying the differential equation 2xdy = (2x^(2) + x) dx .

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

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

Solve the differential equation , (xy^(2) + x) dx + (x^(2)y +y)dy=0

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

The solution of the differential equation y(xy + 2x^2y^2) dx + x(xy-x^2y^2)dy = 0 is given by