consider the autonomous diffeerential equation y'=(y-4)(y+2) 1) what are the constant solutions of this differential equation? 2) Let...

90.2K

Verified Solution

Question

Advance Math

consider the autonomous diffeerential equation y'=(y-4)(y+2)
1) what are the constant solutions of this differentialequation?
2) Let g(y)=(y-4)(y+2) sketch this curve with y on thehorizontal axis
3) for which of the following inital conditions. is thesolution curve incrreasing y(0)=-3, y(0)=2, y(0)=5
4) Plot the solution curves corresponding to the intialconditions in part c. in the ty plane
5) classify each of the constant solutions you found asstable, unstable, or semi

Answer & Explanation Solved by verified expert
4.1 Ratings (479 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students