Home
Class 12
MATHS
Show that the given differential equatio...

Show that the given differential equation is homogeneous and solve each of them.
`ydx+xlog((y)/(x))dy-2xdy=0`

Text Solution

Verified by Experts

The correct Answer is:
`cy = log |(y)/(x)|-1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|18 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE - 9.4|23 Videos

  • DETERMINANTS

    NCERT TAMIL|Exercise Miscellaneous Exercises on Chapter 4|19 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 8.8|15 Videos

Similar Questions

Explore conceptually related problems

Show that the given differential equation is homogeneous and solve each of them. (x-y)dy-(x+y)dx=0

Show that the given differential equation is homogeneous and solve each of them. x(dy)/(dx)-y+xsin((y)/(x))=0

Show that the given differential equation is homogeneous and solve each of them. (x^(2)-y^(2))dx+2xydy=0

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

Show that the given differential equation is homogeneous and solve each of them. {xcos((y)/(x))+ysin((y)/(x))}ydx={ysin((y)/(x))-xcos((y)/(x))}xdy

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

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

Solve the given differential equation. y'=(x+y)/(x)

Show that the differential equation (x - y) (dy)/(dx) = x + 2y is homogeneous and solved it.

Solve the differential equation x(dy)/(dx)=y-xtan((y)/(x)) is homogenous and solve it.