Home
Class 12
MATHS
y^(2) dx + (xy + x^(2) )dy = 0...

`y^(2) dx + (xy + x^(2) )dy = 0`

Text Solution

AI Generated Solution

To solve the differential equation \( y^2 \, dx + (xy + x^2) \, dy = 0 \), we can follow these steps: ### Step 1: Rearranging the Equation We start by rearranging the given equation into a more manageable form: \[ y^2 \, dx + (xy + x^2) \, dy = 0 \] This can be rewritten as: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for practice|15 Videos
  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for practice (2)|18 Videos
  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos
  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos

Similar Questions

Explore conceptually related problems

The solution of the differential equation ( 3xy +y^(2)) dx + (x^(2) +xy)dy = 0 is

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

The solution of the differential equation y^(2)dx+(x^(2)-xy + y^(2))dy = 0 is

Solve: (xy ^ (3) + y) dx + 2 (x ^ (2) y ^ (2) + x + y ^ (4)) dy = 0

y^(2)dx+(x^(2)+xy+y^(2))dy=0

The solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0, is given by

Solution of the differential equation y(xy+2x^(2)y^(2))dx+x(xy-x^(2)y^(2))dy=0 is, (c is constant of integration)

The solution of differential equation y^(2)dx+(x^(2)-xy-y^(2))dy=0 is

(3xy+y^(2))dx+(x^(2)+xy)dy=0