Question 6. Consider the following initial value problemdx3- 2x,2(0) = 1;IPdy= 1 - 5y,dty(0) = 3.(a) Solve the above initial value problem.(b) Find lim z(t) and lim y(t).(c) Find the equilibrium of the system and specify if it is attracting or repelling. Justifyyour answer.

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Answered: Question 6. Consider the following…

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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Question 6. Consider the following initial value problem de dt = 3- 2r, a (0) = 1; dy = 2- 5y, dt y(0) = 3. (a) Solve the above initial value problem. (b) Find lim z(t) and lim y(t). (c) Find the equilibrium of the system and specify if it is attracting or repelling. Justify your answer.