Unformatted text preview: MAT22B–1: HW 3 Problem I
I. Consider the following ﬁrst order ODE
= −5y + 60.
(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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- Spring '08
- Equations, Trigraph, initial value, difference equation, ﬁrst order diﬀerence