Solution Found!
.REFERENCE: PROBLEM 31Homogeneous Equation : M(x, y) dx +
Chapter 2, Problem 32E(choose chapter or problem)
QUESTION:
Put the homogeneous differential equation
\(\left(5 x^{2}-2 y^{2}\right) \ d x-x y \ d y=0\)
into the form given in Problem 31.
Text Transcription:
5x^2 - 2y^2) dx - xy dy = 0
Questions & Answers
QUESTION:
Put the homogeneous differential equation
\(\left(5 x^{2}-2 y^{2}\right) \ d x-x y \ d y=0\)
into the form given in Problem 31.
Text Transcription:
5x^2 - 2y^2) dx - xy dy = 0
ANSWER:Step 1 of 2
An equation in differential form is said to be homogeneous, if it can be written in derivative form
Given equation is
Here M = and N =
, both are homogeneous functions of degree 2.