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

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

Text Solution

Verified by Experts

The correct Answer is:
`y=x{C+log|y|}`

`int(v-1)/(v(v+1))dv=int1/xdx rArr int{2/(v+1)-1/v} dv=1/xdx.`
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 sqrt(1+x^(2)+y^(2)+xy)+xy(dy)/(dx)=0

sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

Solve the following differential equation: sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx)=0

Find the general solution of the differential equation sqrt(1+x^(2)+y^(2)+x^(2)y^(2))+xy(dy)/(dx) =0.

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

The differential equations of all circle touching the x-axis at orgin is (a) (y^(2)-x^(2))=2xy((dy)/(dx)) (b) (x^(2)-y^(2))(dy)/(dx)=2xy ( c ) (x^(2)-y^(2))=2xy((dy)/(dx)) (d) None of these

Find the order and degree,if defined,of each of the following differential equations: ( i ) (dy)/(dx)-cos x=0 (ii) xy(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-y(dy)/(dx)=0 (iii) y''+y^(2)+e^(y')=0

if x^(2)=2y^(2)log y then prove (x^(2)+y^(2))(dy)/(dx)-xy=0

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