MHB -2.2.35 Show that dy/dx=(x+3y)/(x-y) is homogeneous. and....

  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Homogeneous
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
$\dfrac{dy}{dx}=\dfrac{x+3y}{x-y}$
ok well following the book example: divide numerator and denominator by x

$\dfrac{dy}{dx}=\dfrac{1+3\dfrac{y}{x}}{1-\dfrac{y}{x}}$

apparently, thus this is homogeneous but not sure why?

next solve the DE:unsure:
 
Last edited:
Physics news on Phys.org
Segerstrom Science Center
Azusa Pacific University
alma mater 1970

memes_20210816211346.png

never did any pencil sketch before
so this is my first one
 
Back
Top