Home
Class 12
MATHS
Solve the following differential equatio...

Solve the following differential equations.
`(1-x^(2))(dy)/(dx)+2xy=x sqrt(1-x^(2))`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|12 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - 4.5 (Short Answer Questions)|11 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Solve the following differential equations. (x^(2)-y^(2))(dy)/(dx)=xy

Solve the following differential equations. (2x+2y+3)(dy)/(dx)=x+y+1

Solve the following differential equations. (x+y+1)(dy)/(dx)=1

Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=tan^(-1)x .

Solve the following differential equations. (1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

Solve the following differential equations. sin^(-1)((dy)/(dx))=x+y

Solve the following differential equations. x (dy)/(dx) + 2y=log x

Solve the following differential equations. 2(x-3y+1)(dy)/(dx)=4x-2y+1

Solve the following differential equations. (x^(2)+y^(2))dy=2xy dx