Euler's Method · Differential Equations

Differential Equations Quiz

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SERIES AND NUMERICAL METHODS

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Consider the initial value problem

y' = -2y

y(0)=1

. The true solution,

y(x)=e^{-2x}

, approaches 0 as

x \to \infty

. If Euler's method is applied with a step size

h=1.2

, what is the long-term behavior of the sequence of approximations

y_n

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