Georgia standard · Mathematics

`DE.AR.4`Systems of Differential Equations

Solve contextual, mathematical problems involving systems of differential equations to explain real-life phenomena.

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Expectations

DE.AR.4.1
Determine whether a contextual situation results in a system of differential equations and apply the basic existence and uniqueness results for the corresponding initial value problems.
DE.AR.4.2
Solve constant coefficient homogeneous systems using eigenvalues and eigenvectors. Solve systems with real, distinct eigenvalues, as well as those with repeated and imaginary eigenvalues.
DE.AR.4.3
Draw phase portraits for solutions of homogeneous systems with constant coefficients.
DE.AR.4.4
Solve non-homogeneous systems of ordinary differential equations using the method of undetermined coefficients and variation of parameters.
DE.AR.4.5
Determine which non-linear systems are locally linear and identify the behavior of the system about each critical point.
DE.AR.4.6
Plot locally linear systems.
DE.AR.4.7
Use population models derived from locally linear systems.

No Georgia Milestones blueprint cites this standard.