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

Find the particular solution of each of the following equations:
`(1-x^(2))(dy)/(dx)=2y`, given y=1, when x=2

Text Solution

Verified by Experts

The correct Answer is:
`y^(2)=(1)/(9).((1+x)/(1-x))^(2)`
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

Find the particular solution of each of the following equations: tanx(dy)/(dx)=1+y^(2) , given y=1 when x=(pi)/(2)

Find the particular solution of each of the following equations: (dy)/(dx)=(1+y^(2))/(xy), given y=0, when x=1

Find the particular solution of each of the following equations: y-x(dy)/(dx)=2(1+x^(2)(dy)/(dx)) , given y=1, when x=1

Find the paraticular solutions of the following equations: (dy)/(dx)=(1-3x-3y)/(2x+2y) , given y=1, when x=-1

Find the particular solutions of the following equations: (dy)/(dx)=(3x+2y)/(2x-3y) , given y=0 ,when x=1.

Find the particular solutions of the following equations: (dy)/(dx)=(4x+y)/(x+y) , given y=4, when x=1

Find the particular solutions of the following equations: (dy)/(dx)-(y)/(x)+cosec((y)/(x))=0 , given y=0 when x=1.

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

Find the paraticular solutions of the following equations: (6x-4y+3)dx-(3x-2y+1)dy=0 , given y=4, when x=2

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