LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (68.2k points)

Show that the differential equation (xey/x + y)dx = x dy is homogeneous. Find the particular solution of this differential equation, given that x = 1 when y = 1.

1 Answer

+1 vote
by (44.5k points)
selected by
Best answer

The given differential equation is :

So this equation is homogeneous.

Now put y = vx in equation (i).

On differentiating both sides w.r.t. x, we get

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.