Diff Eq. Confusion

Old_Steve · 2007-05-23 11:34:23

I supposed to decide if the following are linear, non-linear, seperable, exact, homogeneous or one that requires and integrating factor:

(x)dy-(y)dx = ((x*y)^(1/2))dx and (x)dy-(y)dx =(2x^2*y^2)dy

Of course, non of the examples show an equation set up like this two. Can anyone help arrange it so I can decide? Thanks in advance!

Stanley_Marsh · 2007-05-23 11:59:38

Old_Steve · 2007-05-24 11:38:50

Thanks! You make it look easy!

Stanley_Marsh · 2007-05-24 14:13:47

But I have no idea on the second one.

harman23 · 2007-05-26 13:05:47

xdy-ydx= (2x^2*y^2)dy
xdy-(2x^2*y^2)dy=ydx
dy(x-2x^2*y^2)=ydx
dy/dx=y/(x-2x^2*y^2)

Old_Steve · 2007-05-27 05:55:51

Thanks Harman.

harman23 · 2007-05-29 00:48:28

r u satisfied with this answer.

Old_Steve · 2007-05-29 12:59:35

Actually, I submitted the work. I'll compare with my answer when get it back.. Thanks for your help.

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