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Ordinary Differential Equations · Calculus

First-Order ODEs

Separable equations split variables; linear equations use an integrating factor. Slope fields give a qualitative picture of all solutions.

WHAT STUDENTS WILL LEARN
✓Solve separable and linear first-order ODEs
✓Apply integrating factors
✓Model growth, mixing, cooling
✓Analyze slope fields and Picard–Lindelöf theorem
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