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

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

Text Solution

Verified by Experts

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

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

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

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

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

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

If y=((1+x)/(1-x))^(n) , prove that (1-x^(2))(d^(2)y)/(dx^(2))=2(n+x)(dy)/(dx).

If y=(x+sqrt(1+x^(2)))^(n) , then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to -

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx) =0 .

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

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