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

`xsqrt(y^(2)-1)dx-ysqrt(x^(2)-1)dy=0`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • 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 PART -C|29 Videos
  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise EXERCISE 11|24 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

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

Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1)dy-ysqrt(y^(2)-1)dx=0 satisfy y(2)=(2)/(sqrt(3)) Statement- I : y(x)=sec(sec^(1)x-(pi)/(6)) Statement-II : y(x) is given by (1)/(y)=(2sqrt(3))/(x)=sqrt(1-(1)/(x^(2)))

dy/dx= (xsqrt(x^(2) - 1) -y )/sqrt(x^(2)-1) , given y = 1 when x = 1

If xsqrt(1-y^(2))+ysqrt(1-x^(2))=k , find [(d^(2)y)/(dx^(2))]_(x=0)

Show that the general solution of the differential equation sqrt(1-x^(2))dy+sqrt(1-y^(2))dx=0 is xsqrt(1-y^(2))+ysqrt(1-x^(2))=c , where c is an arbitray constant.

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

int ((x^(2)-1)dx)/(xsqrt(x^(4)+1))

Find the value of (dy)/(dx) in the simplest form when y=(1)/(4sqrt(2))"log"(1+xsqrt(2)+x^(2))/(1-xsqrt(2)+x^(2))+(1)/(2sqrt(2))"tan"^(-1)(xsqrt(2))/(1-x^(2))

The solution of the differential equation {1+xsqrt((x^2+y^2))}dx+{sqrt((x^2+y^2))-1}ydy=0 is equal to

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