1. Analyze the following equation graphically. Sketch the vector field on the real line, find all the fixed points, classify their stability, and sketch the graph of r(t) for different initial conditions. i=r-r³

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. Analyze the following equation graphically. Sketch the vector field on the real line, find
all the fixed points, classify their stability, and sketch the graph of r(t) for different
initial conditions.
* = x - x³
Transcribed Image Text:1. Analyze the following equation graphically. Sketch the vector field on the real line, find all the fixed points, classify their stability, and sketch the graph of r(t) for different initial conditions. * = x - x³
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