5. Given thatx₁ px ₂ = qwhere p and q are constants.t-2a) Find the general solution of x in terms of t and p and qb) Consider the solution in a), define the conditions that will make x, stable and theconditions that will make x, unstable. In case of stable, specify clearly the value that x,converges to.c) Consider the solution in a), define the conditions that will make x, monotonic oroscillatory or constant.d) If p = 4, q = 12, x₂ = 12 and x3 = 4, using results from (a) if possible, find the solution ofx as a function of t only.e) Calculate x₁, using the solution obtained in d)

Note: As per our guidelines, we are supposed to answer only 3 subparts and rest can be resposted.

Answered: 5. Given that X, - px, 2 = 4 where p…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Solve: sec x = V2 + 2īk|k € Z } U. + 2rk|k E Z 3 + 2īk k E Z 4 2nk k E Z 4. +2Tk|k E Z 3 | 27 + 2rk|k E Z 3. + 2rk|k E Z}U 4 + 27k|k E Z 4
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If p(x, y) = (y+2, 2-x) and u(x, y) = (x, -y), find the formula p∘p∘u and us it to determine its fixed points and stable lines.
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Solve for x and y in each of the following math equations use either method substitution or elimination for 1,2,3 questions. 1.) 4u + (5u + 4) = t +1 2t + 9 = 14 2.) 90 + 1/a = 6b + (-10) 100 + a = (1/2) (b) 3.) 3x + 9Y = 14x 9+ (y+12**1) = b b+ 40 = b+20 4.) Which method do you prefer and why elimination or substitution?
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