Home
Class 12
MATHS
Find the general solution of the differe...

Find the general solution of the differential equation: `((dy)/(dx)) + sqrt((1-y^2)/(1-x^2)) = 0`

Text Solution

Verified by Experts

The correct Answer is:
`x sqrt( 1 - y^2) + y sqrt( 1 - x^2) = A`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |3 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V)|7 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) SHORT ANSWER TYPE QUESTIONS|11 Videos
  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of the differential equation (dy)/(dx)=y/x

Find the general solution of the differential equation: (dy)/(dx) - y = cosx

Find the general solution of the differential equation (dy)/( dx) + 3y = e^(-2x) .

Find the general solution of the differential equation (dy)/dx = (1+y^2)/(1+x^2)

Find the general solution of the differential equation (dy/dx) = (1+y^2)/(1+x^2)

Find the general solution of the differential equation: x(dy)/(dx) + 2y = x^2 (x ne 0)

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

Show that the general solution of the differential equation ((dy)/(dx)) + (y^2 + y + 1)/(x^2 + x + 1) = 0 is given by (x + y +1) = A)1-x-y-2xy) , where A is parameter.