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help on bifurcation

qq
(edited 3 years ago)
Reply 1
Original post by Jokah
how would i go about solving this?
𝑑𝑥
𝑑𝑡 = 𝑥(𝑟 2 𝑟𝑥), 𝑟 > 0

It's separable
Reply 2
Original post by RichE
It's separable

it asks
Determine the location of the bifurcation point. Sketch all the qualitative different phase lines
as r is varied, clearly indicating the fixed points and their nature. Hence sketch the bifurcation
diagram and state the type of bifurcation the equation undergoes.

when you say seperable what am i seperating
Reply 3
Original post by Jokah
it asks
Determine the location of the bifurcation point. Sketch all the qualitative different phase lines
as r is varied, clearly indicating the fixed points and their nature. Hence sketch the bifurcation
diagram and state the type of bifurcation the equation undergoes.

when you say seperable what am i seperating

Your second question is different to your first. I was answering the first, and it's a separable differential equation. Your second post has different and much more detailed questions. What have you done so far?

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