baldymcgee6
  • baldymcgee6
What makes this linear ODE linear?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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baldymcgee6
  • baldymcgee6
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baldymcgee6
  • baldymcgee6
And is it a mistake that it says dx/dy instead of dy/dx ?
zepdrix
  • zepdrix
Hmm I'm pretty sure this is not linear is either x or y. Does the book say it is? :o

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baldymcgee6
  • baldymcgee6
It's not from the book, straight from my prof. :/
zepdrix
  • zepdrix
Hmm ok maybe I'm mistaken c: Gimme few minutes to think about it.
baldymcgee6
  • baldymcgee6
the question is... explain why this ODE is linear and then solve it..
zepdrix
  • zepdrix
Hmm I'm dunno :C
baldymcgee6
  • baldymcgee6
haha, that's okay, but then again... i'm screwed if YOU can't get it!
zepdrix
  • zepdrix
lol XD
zepdrix
  • zepdrix
OH yes maybe it is a typo! Because it appears to be linear if that derivative term is dy/dx.
zepdrix
  • zepdrix
Otherwise I don't see a way to make it linear in x or y. Man I just took Diff EQ last semester, you would think I had remembered some of it :P grr
baldymcgee6
  • baldymcgee6
haha alrighty thanks. I will check with my prof.
baldymcgee6
  • baldymcgee6
@zepdrix, if it was dy/dx... What makes it learn? Just that it is in the right form?
baldymcgee6
  • baldymcgee6
linear***
zepdrix
  • zepdrix
Ummmm because we can get it into the form,\[\large y'+p(x)y=q(x)\] See how this form has no powers on y, and no weird functions of y,`like cos y`? If I remember correctly that's what makes it linear, if we can put it into that form.
baldymcgee6
  • baldymcgee6
okay, cool.. Sorta what I was thinking! Thanks again

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