Question

Use the differential equation u' = u(u - 4) to answer the questions below a) Explain...

Use the differential equation u' = u(u - 4) to answer the questions below

a)

Explain using the Picard Theorem that two graphs of solutions for different differential equations do not intersect.

b)

Show that there exist exactly two different solutions that are constant functions and find them

c)

You are given that u(0) = 1. Explain using the answers from a) and b) that the solution is always a decreasing function

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