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Quantum Engineering Year 0: Mathematical Foundations Month 4Day 103

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Year 0·Month 4·Week 3

Day 103: Applications to Differential Equations

Day 103 of 2,016~4 min read

Learning Objectives

•Solve systems of linear ODEs using eigenvalue methods
•Understand phase portraits and stability
•Classify equilibrium points by eigenvalue structure
•Apply matrix exponentials to initial value problems
•Connect to quantum time evolution (Schrödinger equation)

Today's Schedule (7 hours)

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On this page

1 Linear Systems of ODEs 2 Solution via Diagonalization 3 Stability Analysis 4 2D Classification 5 Quantum Connection Schrdinger Equation Worked Example Practice Problems

Day 102Day 103 of 2,016Day 104