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February 24th, 2008, 06:05 PM   #1
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Equilibria and their Stability

Can anyone help me out with these 2 qns [ differential equations ]...

PURE TIME
dy/dx = 1/(1+x^2), where y(initial)=1 when x(initial)=0

and

AUTONOMOUS
dy/dx = (3-y)(2+y)

any help much appreciated = )
Thank you!!
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February 25th, 2008, 12:54 PM   #2
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Re: Equilibria and their Stability

Quote:
Originally Posted by Canucks89
Can anyone help me out with these 2 qns [ differential equations ]...

PURE TIME
dy/dx = 1/(1+x^2), where y(initial)=1 when x(initial)=0

and

AUTONOMOUS
dy/dx = (3-y)(2+y)

any help much appreciated = )
Thank you!!
Both look like simple integration problems.
1) y=int(dx/(1+x^2))

2) x=int(dy/(3-y)(2+y))
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