Q. 54.7( 32 Votes )

# In each of the question, show that the given differential equation is homogeneous and solve each of them.

Answer :

Here, putting x = kx and y = ky

= k^{0}.f(x,y)

Therefore, the given differential equation is homogeneous.

To solve it we make the substitution.

y = vx

Differentiating eq. with respect to x, we get

Integrating both sides, we get

The required solution of the differential equation.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Related Videos

Interactive Quiz on DIfferential Calculus50 mins

Interactive Quiz on Differential Calculus | Check Yourself56 mins

Functional Equations - JEE with ease48 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Solve the following differential equation:

RD Sharma - Volume 2

tan^{-1}x + tan^{-1} y = c is the general solution of the differential equation:

The number of solutions of when y(1) = 2 is:

Mathematics - ExemplarFind the particular solution of the differential equation

given that when

Mathematics - Board PapersSolve the following differential equation:

dy + (x + 1)(y + 1) dx = 0

RD Sharma - Volume 2Find the particular solution of the following differential equation:

when x = 1

Mathematics - Board Papers