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

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

Text Solution

Verified by Experts

The correct Answer is:
`y (x - sqrt(x^(2) - 1)) = 1/3 [x^(3) - (x^(2) - 1 ) ^(3/2)]+ 2/3`
Promotional Banner

Topper's Solved these Questions

  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(A. Multiple Correct Answers Type)|5 Videos
  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination(B. Interger Answers Type)|5 Videos
  • LINEAR DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUSETIONS|6 Videos
  • LIMIT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos
  • LINEAR INEQUATIONS

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

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

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

(1+x^(2)) dy/dx + 2xy = 4x^(2), given y = 0 , when x = 0

(dy)/(dx)=1+e^(2x-y) , given y=2, when x=2

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

Solve: x(dy)/(dx)+2y=sqrt(1+x^(2)) , given y=1, when x=1

(dy)/(dx)=(x+y+1)/(x+y-1) , given y=1, when x=1

log""(dy)/(dx)=4x-2y-2, given y=1, when x=1

(dy)/(dx)=(x+y)^(2) , given that y=1, when x=0

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