(a) Solve the recurrence B₁ = 6B₁-1 - 8Bn-2, with initial conditions Bo = 3, B₁ = 10. You need to give: (i) Characteristic polynomial and its roots; (ii) General form of the solution; (iii) Initial condition equations and their solution; (iv) Final answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Solve the recurrence Bn = 6Bn-1 - 8B-2, with initial conditions Bo = 3, B₁ = 10.
You need to give: (i) Characteristic polynomial and its roots; (ii) General form of the
solution; (iii) Initial condition equations and their solution; (iv) Final answer.
(b) Determine the general solution of the recurrence equation
fn = 6fn-1-8fn-2+2.3"
You need to give: (i) Characteristic polynomial of the associated homogeneous recurrence
and its solution; (ii) General solution of the homogeneous recurrence; (iii) Particular solution
of the nonhomogeneous recurrence; (iv) General solution of the nonhomogeneous recurrence.
Transcribed Image Text:(a) Solve the recurrence Bn = 6Bn-1 - 8B-2, with initial conditions Bo = 3, B₁ = 10. You need to give: (i) Characteristic polynomial and its roots; (ii) General form of the solution; (iii) Initial condition equations and their solution; (iv) Final answer. (b) Determine the general solution of the recurrence equation fn = 6fn-1-8fn-2+2.3" You need to give: (i) Characteristic polynomial of the associated homogeneous recurrence and its solution; (ii) General solution of the homogeneous recurrence; (iii) Particular solution of the nonhomogeneous recurrence; (iv) General solution of the nonhomogeneous recurrence.
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