Home
Class 12
MATHS
Find the particular solution of the diff...

Find the particular solution of the differential equation `(tan^(-1)y-x)dy=(1+y^2)dx`, given that x= 1, when y=0.

Text Solution

Verified by Experts

The correct Answer is:
`x*e^(tan^(-1)y)= e^(tan^(-1)y)(tan^(-1)y-1)+2`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11A)|57 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 11B)|17 Videos

  • DIFFERENTIAL EQUATION

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

Find the particular solution of the differential equation (dy)/(dx)= -4xy^(2) , given that y= 1, when x= 0.