Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6 X. Describe the behavior of the solution as t- o. (b) Find the solution of the initial value problem x': -3 2 x, x(0) Describe the behavior of the solution as t- oo.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer only part b).

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Problem 3.
(a) Find the general solution for the system of ODE
(4 -3)
x' =
8 -6
X.
Describe the behavior of the solution as t- o.
(b) Find the solution of the initial value problem
-3 2
x,
x':
x(0)
Describe the behavior of the solution as t- oo.
Transcribed Image Text:Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6 X. Describe the behavior of the solution as t- o. (b) Find the solution of the initial value problem -3 2 x, x': x(0) Describe the behavior of the solution as t- oo.
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