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Exercise 36.4.3 Consider the difference equation St+1 = St(1 + R) + D subject to the initial condition s1 = D, where R and D
Exercise 36.4.3 Consider the difference equation St+1 = St(1 + R) + D subject to the initial condition s1 = D, where R and D are some constants. (a) Write this difference equation in the form P(E) st = Q(t) for a suitable polynomial P and function Q(t). (b) Solve the difference equation subject to the given initial condition. Exercise 36.4.4 Find the general solution of the difference equation yx+3 - 3yx+2 + 9yx+1 + 13yx = 5x + 3
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