Home
Class 12
MATHS
Solve - x^2dy/dx = 2xy + y^2...

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

Text Solution

Verified by Experts

The correct Answer is:
`y=Cx(x+y)`

`int1/(v(1+v))dv=int1/xdx rArr int {1/v-1/(1+v)}dv=int1/x dx` [ by partial fractions].
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

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

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

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

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

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

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

Solve: dy/dx+xy=xy^2

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

Solve: (x-y)^2(dy)/(dx)=a^2

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