Home
Class 12
MATHS
(1-x^(2)) dy/dx - xy = x^(2) , given y ...

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

Text Solution

Verified by Experts

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

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

(x^(2)+ 1) dy/dx+ 2xy = 4x^(2)

dy/dx - 3y cot x = sin 2x, given y= 2 when x = pi/ 2

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

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

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

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

Find the particular solution of the differential equation (dy)/(dx) = - 4xy^(2) given that y = 1, when x = 0.

Find a particular solution of the differential equation (x + 1)(dy)/(dx) = 2e^(-y) - 1 , given that y = 0 when x = 0.

Solve: (x^2 + y^2).dx-2xydy = 0, given y = 0 when x = 1