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10 cards from this deck
A differential equation connects a function and its derivatives.
A derivative shows how a function changes over time.
Integration finds the starting function from its derivative.
A solution is a function that fits the differential equation.
A first-order differential equation has first-degree derivatives.
Sir Isaac Newton studied planetary orbits and called them 'fluxional'.
The general form is y'(t) = f(t, y(t)).
Differential equations have function solutions, not numbers.
Verifying ensures correct solutions are applied in practice.
They model population growth, chemical reactions, and economics.
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