A necessary and sufficient condition that M(x,y)dx+N(x,y)dy=0 be a homogeneous equation isA) Mand Nare both homogeneous functionsM and N are both homogeneous functionsBand of same degreeM only is a homogeneous functionDN only is a homogeneous function

A first order and first degree differential equation is of the form M(x,y) dx + N(x,y) dy = 0 is…

Answered: A necessary and sufficient condition…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A necessary and sufficient condition that M(x,y)dx+N(x,y)dy=0 be a homogeneous equation is M and N are both homogeneous functions M and N are both homogeneous functions В and of same degree c) M only is a homogeneous function D N only is a homogeneous function