Home
Class 12
MATHS
(1+x^(2))dx+(1+y^(2))dy=0...

`(1+x^(2))dx+(1+y^(2))dy=0`

Text Solution

Verified by Experts

The correct Answer is:
`x^(3)+y^(3)+3(x+y)=c`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -A|30 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise PART -B|14 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos
  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

Similar Questions

Explore conceptually related problems

y(1+x^(2))dy=x(1+y^(2))dx

y(1-x^(2))dy=x(1+y^(2))dx

(dy)/(dx) = (1 + x^(2))(1 + y^(2))

y dx + (x - y^(2))dy = 0

x^(2)dy+(xy + y^(2))dx = 0, y = 1 when x = 1

(1+e^(2x))dy+e^(x)(1+y^(2))dx=0 it being given that y=1 when x=0

Solve: (xy^(2)-e^((1)/(x^(3))))dx-x^(2)y dy=0 , given y=0, when x=1

dy/dx + (2x)/(1+ x^(2)) y = 1/((1+x^(2))^(2))

If y=sqrt((1-x)/(1+x)) , prove that , (1-x^(2)) (dy)/(dx)+y=0

If y="("x+sqrt(x^(2)-1)")"^(m) , then prove that, (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+m^(2)y=0