5. Let h - Ah = x = [1 + ²√5 h = √5], 0 where h is a real parameter. (a) Find all values of h for which the system X' = spiral source. (b) AhX has either a center, a spiral s Find all values of h for which X' = A₁ X has a sink or

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Question
5.
Let
h
Ah
x = [h₁ + ²√5 h = √5],
where h is a real parameter.
(a) Find all values of h for which the system X' = AX has either a center, a spiral sink, or a
spiral source.
(b)
Find all values of h for which X' = AX has a sink or a source.
Transcribed Image Text:5. Let h Ah x = [h₁ + ²√5 h = √5], where h is a real parameter. (a) Find all values of h for which the system X' = AX has either a center, a spiral sink, or a spiral source. (b) Find all values of h for which X' = AX has a sink or a source.
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