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Differential Equations for Math AA HL IA


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I want to do my IA on calculus or differential equations but any idea i have (e.g. Game theory, SIR modelling) is too simple for AA HL and i want to score full on exploration. I did consider Riemann Hypothesis but it seems like differential equations score well, and I'm a mediocre HL student. Anything about differential equations that lies within the scope of math AA HL?

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