Home
Class 12
MATHS
Solve the differential equation (x dy ...

Solve the differential equation
`(x dy - y dx) y sin ((y)/(x)) = (y dx + x dy) x cos ((y)/(x))`.

Text Solution

Verified by Experts

The correct Answer is:
`sec ((y)/(x)) = C xy`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.1|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.2|12 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|18 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

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

Solve the differential equation (x)dy = ( 1 + y^(2))dx .

Solve the differential equation y dx = (x + y^(2))dy ( y ne 0) .

Solve the differential equation x y(dy)/( dx)=(1+y^2)/(1+x^2)(1+x+x^2)

Solve the differential equation: (1+y^2)+(x - e^(tan^-1 y) )dy/dx = 0

solve x(dy)/(dx) - y + x sin ((y)/(x)) = 0

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

Show that the differential equation x cos ((y)/(x))(dy)/(dx) = y cos ((y)/(x)) + x is homogeneous and solve it.

Solve the differential equation ( x + y) dy + (x - y) dx = 0 ; given that y = 1 when x = 1.

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