Home
Class 12
MATHS
Differential equation (dy)/(dx)=f(x)g(x)...

Differential equation `(dy)/(dx)=f(x)g(x)` can be solved by separating variable `(dy)/g(y)=f(x)dx.`
Solution of the differential equation `(dy)/(dx)+(1+y^(2))/(sqrt(1-x^(2)))=0` is

A

`tan^(-1)y+sin^(-1)x=C`

B

`tan^(-1)x+sin^(-1)y=C`

C

`tan^(-1)y*sin^(-1)x=C`

D

`tan^(-1)y-sin^(-1)x=C`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Differential Equations Exerise 5 :|3 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|8 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|9 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

Solve the differential equation (dy/dx) = (sqrt(1-y^2))/(sqrt(1-x^2))

Solve the differential equation (dy/dx) = (sqrt(1+y^2))/(sqrt(1+x^2))

Solve the differential equation: (dy)/(dx)+y/x=x^2

Solve the differential equations: x(dy)/(dx)+y^2/x=y