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Euler's Method
Short straight hops along the slope field · BC Calculus · greeting
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At (xₙ, yₙ)
slope = f(xₙ,yₙ)
yₙ₊₁ = yₙ + f·Δx
Finite Δx
→ approximation
Smaller often better
Euler is not exact — it trades exactness for computability
Owl:
We'll try one careful step, then a tiny table, and talk honestly about step-size error.
You:
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