Recent content by Hutchyy
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Differential equation: Autonomous equation question
Homework Statement I'm stuck on Question #2 part A/B Homework Equations y'=r(1-y/k)y-h=y^2-ky+kh/r y''=2y-k Roots for y'= (k+/-sqrt(k^2-4kh/r))/2 I am assuming the positive root is y2 h<rk/4 [/B] The Attempt at a Solution on part a I'm getting the roots to be y2=(K+sqrt(k^2-4kh/r))/2 and...- Hutchyy
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- Differential Differential equation
- Replies: 1
- Forum: Calculus and Beyond Homework Help
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Ordinary Differential equations question
Thanks halls of ivy! But I got that one! I meant number 17 the word problem- Hutchyy
- Post #5
- Forum: Calculus and Beyond Homework Help
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Ordinary Differential equations question
#17 If you can't see the picture: Suppose that y1, y2, and y3 are solutions to a third order constant coefficient homogeneous differential equation. Suppose further that for all real t, W(y1,y2)(t)>0, but also W(y1,y2,y3)(0)=0. Then there exists c1 and c2 such that c1y1(t) + c2y2(t) =y3(t) for...- Hutchyy
- Thread
- Differential Differential equations
- Replies: 4
- Forum: Calculus and Beyond Homework Help