## baldymcgee6 2 years ago What makes this linear ODE linear?

1. baldymcgee6

|dw:1359520701118:dw|

2. baldymcgee6

And is it a mistake that it says dx/dy instead of dy/dx ?

3. zepdrix

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

4. baldymcgee6

It's not from the book, straight from my prof. :/

5. zepdrix

Hmm ok maybe I'm mistaken c: Gimme few minutes to think about it.

6. baldymcgee6

the question is... explain why this ODE is linear and then solve it..

7. zepdrix

Hmm I'm dunno :C

8. baldymcgee6

haha, that's okay, but then again... i'm screwed if YOU can't get it!

9. zepdrix

lol XD

10. zepdrix

OH yes maybe it is a typo! Because it appears to be linear if that derivative term is dy/dx.

11. 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

12. baldymcgee6

haha alrighty thanks. I will check with my prof.

13. baldymcgee6

@zepdrix, if it was dy/dx... What makes it learn? Just that it is in the right form?

14. baldymcgee6

linear***

15. 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.

16. baldymcgee6

okay, cool.. Sorta what I was thinking! Thanks again