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Quantum Engineering Year 0: Mathematical Foundations Month 3Day 66

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Year 0·Month 3·Week 2

Day 66: Variation of Parameters

Day 66 of 2,016~7 min read

Learning Objectives

•Understand why variation of parameters is needed
•Derive the variation of parameters formulas
•Apply the method to any second-order linear ODE
•Compare with undetermined coefficients
•Handle forcing functions that undetermined coefficients can't

Today's Schedule (7 hours)

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On this page

1 Limitations of Undetermined Coefficients 2 The Setup 3 The Key Idea Derivation 4 Setting Up the System 5 Substituting into the ODE 6 The System of Equations 7 Solving using Cramers Rule 8 Final Formulas

Day 65Day 66 of 2,016Day 67