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anonymous
 4 years ago
Is this differential equation homogeneuos?
F(x,y,y',y'')=0
And how would look like nonhomogeneuos DE in this form?
anonymous
 4 years ago
Is this differential equation homogeneuos? F(x,y,y',y'')=0 And how would look like nonhomogeneuos DE in this form?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, a homogenous equation is equal to 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and how would look like nonhomogeneuos?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0a nonhomogenous equation would equal some function of x or a constant

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ehhhh I'd be careful with this... F(x,y,y',y'') = y'' + y' + y + sin(x) = 0 is not homogeneous...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know, but im interesting in this form....F(x,y',y'',..)=0....you have x here,maybe this is a constant?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ahh good point Jemurray3 i missed the x in there.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://www.dummies.com/howto/content/defininghomogeneousandnonhomogeneousdifferenti.html

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so, from this for you can only see its second order?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The definition for a homogeneous second order differential that I always would fall back on is something of the form \[ a(x) y''(x) + b(x) y'(x) + c(x) y(x) = 0\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0differential equation*

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Just so long as every term involves y or one of its derivatives, really.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but from this form you cant conclude if its homogeneuos or not?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0F(x,y,y',y'') = 0 defines a second order, ordinary differential equation. That is all the information you can get from that.
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