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baldymcgee6

  • 3 years ago

What makes this linear ODE linear?

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  1. baldymcgee6
    • 3 years ago
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    |dw:1359520701118:dw|

  2. baldymcgee6
    • 3 years ago
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    And is it a mistake that it says dx/dy instead of dy/dx ?

  3. zepdrix
    • 3 years ago
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    Hmm I'm pretty sure this is not linear is either x or y. Does the book say it is? :o

  4. baldymcgee6
    • 3 years ago
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    It's not from the book, straight from my prof. :/

  5. zepdrix
    • 3 years ago
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    Hmm ok maybe I'm mistaken c: Gimme few minutes to think about it.

  6. baldymcgee6
    • 3 years ago
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    the question is... explain why this ODE is linear and then solve it..

  7. zepdrix
    • 3 years ago
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    Hmm I'm dunno :C

  8. baldymcgee6
    • 3 years ago
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    haha, that's okay, but then again... i'm screwed if YOU can't get it!

  9. zepdrix
    • 3 years ago
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    lol XD

  10. zepdrix
    • 3 years ago
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    OH yes maybe it is a typo! Because it appears to be linear if that derivative term is dy/dx.

  11. zepdrix
    • 3 years ago
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    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

  12. baldymcgee6
    • 3 years ago
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    haha alrighty thanks. I will check with my prof.

  13. baldymcgee6
    • 3 years ago
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    @zepdrix, if it was dy/dx... What makes it learn? Just that it is in the right form?

  14. baldymcgee6
    • 3 years ago
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    linear***

  15. zepdrix
    • 3 years ago
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    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.

  16. baldymcgee6
    • 3 years ago
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    okay, cool.. Sorta what I was thinking! Thanks again

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