Home
Class 12
MATHS
Verify that y= x sin x is a solution of ...

Verify that `y= x sin x` is a solution of differential equation `xy' = y + x sqrt(x^(2) - y^(2) )`

Text Solution

Verified by Experts

The correct Answer is:
`sin x =(y)/(x)`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION III) |9 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |3 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|98 Videos

Similar Questions

Explore conceptually related problems

Find the solution of differential Equation 2xy dy/dx = x^2 +3y^2

Verify that weather y=e^(x) + 1 is the solution of differential equation y"-y' = 0 or not?

Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is __________.

Verify that the function y= cos x + c is a solution of the differential equation y' + sin x=0

Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= x sqrt(y) is

Verify that the given function is a solution of the differential equation: y_1+y=0, y=ce^-x

Verify that the given function (explicit or implicit) is a solution of the corresponding differential equation: y = x sinx : xy' = y + x sqrt(x^2 - y^2)

Verify that the given function is a solution of the differential equation: (y-x)dy-(y^2-x^2)dx=0 , y=-x-1 .

Verify that the given function is a solution of the differential equation: y=x(dy)/(dx)+a(dx)/(dy) , y^2=4ax .