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hw3 - MAT22B–1 HW 3 Problem I I Consider the following...

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Unformatted text preview: MAT22B–1: HW 3 Problem I I. Consider the following first order ODE dy = −5y + 60. dt (a) Find the first order difference equation yn+1 = f (yn ) that approximates this ODE using step size h = 0.1 (b) Suppose an initial value is y0 is given, solve the difference equation in (a) in terms of the initial value y0 . (c) Describe the behavior of the solution as n → ∞. 1 ...
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