Home
Class 12
MATHS
x^(2)(dy)/(dx)=x^(2)+xy+y^(2)...

`x^(2)(dy)/(dx)=x^(2)+xy+y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1)y/x=log|x|+C`
`int 1/(1+v^(2))dv=int1/xdx rArr tan^(-1)v=log|x|+C`.
Promotional Banner

Topper's Solved these Questions

  • HOMOGENEOUS DIFFERENTIAL EQUATION

    RS AGGARWAL|Exercise Exercise 20|30 Videos

  • FUNDAMENTAL CONCEPTS OF 3-DIMENSIONAL GEOMETRY

    RS AGGARWAL|Exercise Exercise|18 Videos

  • INDEFINITE INTEGRAL

    RS AGGARWAL|Exercise Objective Questions|41 Videos

Similar Questions

Explore conceptually related problems

x^(2)(dy)/(dx)+y^(2)=xy

2xy(dy)/(dx)=x^(2)+y^(2)

Solve -x^(2)(dy)/(dx)=2xy+y^(2)

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

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

Show that the given differential equation is homogeneous and solve each of them.x^(2)(dy)/(dx)=x^(2)-2y^(2)+xy

xy (dy)/(dx) =x^(2) +2y^(2)

(dy)/(dx)=(x^(2)-y^(2))/(xy)

(dy)/(dx)=(x^(2)+y^(2))/(2xy)

(dy)/(dx)=(x^2y+y)/(xy^2+x)