Home
Class 12
MATHS
Check whether the differential equation ...

Check whether the differential equation is homogeneous.
`x cos "(y/x) dy=(y cos "(y)/(x)-x)dx.`

Text Solution

Verified by Experts

The correct Answer is:
yes
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    ARIHANT PRAKASHAN|Exercise Chapter Test (1 MARK Questions) |13 Videos

  • DIFFERENTIAL EQUATIONS

    ARIHANT PRAKASHAN|Exercise Chapter test (4 MARKS Questions)|9 Videos

  • DIFFERENTIAL EQUATIONS

    ARIHANT PRAKASHAN|Exercise TOPIC-2 (PRACTICE QUESTIONS) (6 MARK Questions)|12 Videos

  • DETERMINANTS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|4 Videos

  • EXAMINATION PAPER 2019

    ARIHANT PRAKASHAN|Exercise Group -C|11 Videos

Similar Questions

Explore conceptually related problems

Find the solutions of the following differential equations : x sin ""(y)/(x)dy= (y sin ""(y)/(x)-x)dx

(ii) Solve the following differential equation . x sin (y/x) dy = [ y sin (y/x) - x] dx

Show that the differential equation x cos (y/x)(dy)/(dx)= y cos (y/x)+x is homogeneous.

Solve the following differential equation x cos (y/x)(dy)/(dx)= y cos (y/x)+x, x ne 0 .

Find the solution of the differential equation {x cos (y/x)+y sin (y/x)}y dx= {y sin (y/x)-x cos (y/x)}x dy .

Solve the given differential equation sin x (dy)/(dx)+3y=cos x.

Solve the differential equation cos x*(d)/(dx)+2sin x*y=sin x*cos x .

Solve the following differential equations. sin x dy/dx +3y=cos x

Show that the differential equation (x-y)dy/dx=X+2y is homogeneous and find its degree.

Find the integrating factor of differential equation sin x (dy)/(dx)+3y=cos x.

Home
Profile