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#1 2007-05-23 11:34:23

Old_Steve
Member
Registered: 2007-05-15
Posts: 17

Diff Eq. Confusion

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!

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#2 2007-05-23 11:59:38

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Diff Eq. Confusion


Numbers are the essence of the Universe

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#3 2007-05-24 11:38:50

Old_Steve
Member
Registered: 2007-05-15
Posts: 17

Re: Diff Eq. Confusion

Thanks!  You make it look easy!

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#4 2007-05-24 14:13:47

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

Re: Diff Eq. Confusion

But I have no idea on the second one.


Numbers are the essence of the Universe

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#5 2007-05-26 13:05:47

harman23
Member
Registered: 2007-05-26
Posts: 2

Re: Diff Eq. Confusion

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)

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#6 2007-05-27 05:55:51

Old_Steve
Member
Registered: 2007-05-15
Posts: 17

Re: Diff Eq. Confusion

Thanks Harman.

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#7 2007-05-29 00:48:28

harman23
Member
Registered: 2007-05-26
Posts: 2

Re: Diff Eq. Confusion

r u satisfied with this answer.

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#8 2007-05-29 12:59:35

Old_Steve
Member
Registered: 2007-05-15
Posts: 17

Re: Diff Eq. Confusion

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

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