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1 Consider the diffe dy - y² +4y³ - 12y² a) What are the equilibria? b) On what intervale) is increasing? on what intervallss is ytt) decreasing? is y(t) 11 dicromotial equatin and

1 Consider the diffe dy - y² +4y³ - 12y² a) What are the equilibria? b) On what intervale) is increasing? on what intervallss is ytt) decreasing? is y(t) 11 dicromotial equatin and

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Consider the differential equation: dy y² +4y³-12y² dt a) What are the equilibra? b) On what intervale) is of On what intervallss is ytt) d) Draw the phase line •ylt) increasing? is ylt) decreasing? T for the differential equatin and mark each equilibrium as a sink, soune or no de. • say about the solution to the e if y(0) = -1, what can we associated IVP? Why. 3812 lu
Transcribed Image Text:Consider the differential equation: dy y² +4y³-12y² dt a) What are the equilibra? b) On what intervale) is of On what intervallss is ytt) d) Draw the phase line •ylt) increasing? is ylt) decreasing? T for the differential equatin and mark each equilibrium as a sink, soune or no de. • say about the solution to the e if y(0) = -1, what can we associated IVP? Why. 3812 lu
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