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.

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Chapter2: Second-order Linear Odes
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Question 6. Consider the following initial value problem
dx
3- 2x,
2(0) = 1;
IP
dy
= 1 - 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.
Transcribed Image Text:Question 6. Consider the following initial value problem dx 3- 2x, 2(0) = 1; IP dy = 1 - 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.
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