Home
Class 12
MATHS
Show that the general solution of the di...

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 a parameter.

Text Solution

Verified by Experts

The correct Answer is:
`A= (1)/(sqrt(3))tan k`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -III (VERY SHORT ANSWER TYPE)|14 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -III (SHORT ANSWER TYPE)|11 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise QUESTIONS FOR PRACTICE OF PART -II (SHORT ANSWER TYPE)|14 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

  • INTEGRATION

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos

Similar Questions

Explore conceptually related problems

Write the general solution of the differential equations : dy/dx=(1+y^2)/(1+x^2)

Obtain the general solution of the following differential equations. dy/dx(x^2+1)(y^2+1)