Exercise 2. For each of the following descriptions find an equation i = f(z) with the given properties. • Every real number is a fixed point • Every integer is a fixed point (and no others) • There are exactly 3 fixed points and they are all stable • There are no fixed points • There are exactly 100 fixed points

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise 2.
For each of the following descriptions find an equation i = f(x) with
the given properties.
• Every real number is a fixed point
• Every integer is a fixed point (and no others)
• There are exactly 3 fixed points and they are all stable
• There are no fixed points
• There are exactly 100 fixed points
Transcribed Image Text:Exercise 2. For each of the following descriptions find an equation i = f(x) with the given properties. • Every real number is a fixed point • Every integer is a fixed point (and no others) • There are exactly 3 fixed points and they are all stable • There are no fixed points • There are exactly 100 fixed points
Expert Solution
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When we want to find the fixed points of a function f(x) then we have to put x equal to this function. Or by graphically we have to find that points where the graph of the function cut to the tangent line.

 

 

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