Question

Find the equilibria of the system dx/dt = 10x(1-x/10)-20xy and dy/dt = -5y+xy/20 @amistre64 @jim_thompson5910 @Mertsj @ganeshie8 @Callisto @zepdrix @radar @Luigi0210 @whpalmer4 @Compassionate @wio @e.mccormick @shamil98 @mukushla @timo86m @nincompoop @hba @beccaboo333 @Zale101 @Preetha @bookworm00981 @wolfe8

Answer 1

I found out that I can actually do DE's

Answer 2

I got equilibria (0,0) , (10/0) and (1000, -99/2) but I think they are wrong for some reason

Answer 3

I cannot help you. Please stop tagging me and so many people at once.

Answer 4

inky can help you

Answer 5

inky is a hedgehog :D

Answer 6

y'= -5y+xy/20 ? is this all over 20 or just the xy part?

Answer 7

Just the xy part

Answer 8

I'm confused.. but what I would do is.. dy/dx=dy/dt/dx/dt and integrate

Answer 9

Dear FMP,

Haven't you already been temporarily banned for gross over-tagging? I have a plan. Quit it. It just is not necessary and is quite annoying. Seriously, stop it.

Answer 10

Well answer my question then, noob.

Answer 11

Definitely seeing (0,0) and (10,0). Where did you get the other one? There is some argument around x = 100.

But are you learning anything? This is the question. If you just come back and do the same thing over again, it seems like you are not learning. I recommend learning. Give it a go.

Answer 12

Well I got a 108/100 on the first exam so I must be.

Answer 13

From the first equation you get 1-x/10-2y=0 so you get x = 10/20y then you sub it to the 2nd equation to get y=-99/2 then you sub this back into the irinal equation to get x=1000

Answer 14

I wasn't talking about your mathematics. I happen to have infinite patience. Not everyone does. Your general demeanor could use some learning.

Your "1" seems magically to have disappeared. Please try that "first equation" again.

Answer 15

I'm not so sure about that 1000. The other two are right though.

Answer 16

The x = 1000 doesn't exist. It is just an algebra error.