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Diff Eq 4.1 Notes: Preliminary Theory - Linear Equations
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Objectives:
1. State and apply the Existence/Uniqueness Theorem for linear initial value problems of order n.
2. Know the definition of linear dependence/independence of a set of functions over a given
interval.
3. Use the Wronskian to test a set of solutions of a linear homogeneous ODE for linear
independence.
4. Use the Superposition Principle to construct the complete solution of an nth order linear homogeneous ODE from a set of linearly independent solutions.
1. State and apply the Existence/Uniqueness Theorem for linear initial value problems of order n.
2. Know the definition of linear dependence/independence of a set of functions over a given
interval.
3. Use the Wronskian to test a set of solutions of a linear homogeneous ODE for linear
independence.
4. Use the Superposition Principle to construct the complete solution of an nth order linear homogeneous ODE from a set of linearly independent solutions.
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