Hi, I am having trouble with these questions and any help would be appreciated. Q1) Find the regions in the xy plane where the equation is elliptic,hyperbolic, or parabolic. Also sketch them. Q2) Same as q1 but the equation is: Thanks
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If you let and , then you go to consider when . This will tell you when the PDE is hyperbolic, parabolic or elliptic.
Originally Posted by Danny If you let and , then you go to consider when . This will tell you when the PDE is hyperbolic, parabolic or elliptic. Thanks Danny, but shouldn't ? So I get . So for: Parabolic: , or , or Hyperbolic: Elliptic: Is this correct? And for 2) I get Parabolic: since Hyperbolic: (the entire graph) Elliptic: (which is nothing) Thanks
EDIT: sorry, thought I made a mistake. Can anyone confirm that my above working is correct?
Originally Posted by ellenu485 Thanks Danny, but shouldn't ? So I get . So for: Parabolic: , or , or Hyperbolic: Elliptic: Is this correct? And for 2) I get Parabolic: since Hyperbolic: (the entire graph) Elliptic: (which is nothing) Thanks Yep - you're right. I missed the on . As for you're workings. For the hyperbolic case your want . So in addition to want you have we also have . Your second part looks good.
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