Find if the following Equations has Periodic Solutions, system of only Constant or non- constant x'= 2x-y-x³-3xy² y' = 2x + 4y - 4y³ - 2xy² (Hint: Use Lya punov Function: V(x,y) = 2x² + y²)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find
the following
if the
system of
Equations
has
Periodic Solutions,
only Constant or
non- constant
x'= 2x -y-x³-3xy²
y' = 2x + 4y - 4y²³ - 2xy²
(Hint: Use Lya punov Function: V(x,y) = 2x² + y²)
Transcribed Image Text:Find the following if the system of Equations has Periodic Solutions, only Constant or non- constant x'= 2x -y-x³-3xy² y' = 2x + 4y - 4y²³ - 2xy² (Hint: Use Lya punov Function: V(x,y) = 2x² + y²)
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