3. Solve the initial value problem x(0) = 0, y(0) = 3, z(0) = 1. da dt dy dt dz dt =x-2 = y + 2z = x+y+z +y+₂

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I'm encountering difficulties in solving this problem using only matrix notation, and I'm seeking your assistance. The requirement is to find a solution using matrix notation exclusively, without utilizing any other approaches. Could you please walk me through a detailed, step-by-step explanation using matrix notation, guiding me towards the final solution?

can you please do this step by step so I can follow. along and this has to be done using the Matrix way
 
3.
Solve the initial value problem
x(0) = 0, y(0) = 3, z(0) = 1.
x(t)
y(t)
=
匠| | |
dx
dt.
dy
dt
dt
=x-2
= y + 2z
= x+y+z
z(t) =
Transcribed Image Text:3. Solve the initial value problem x(0) = 0, y(0) = 3, z(0) = 1. x(t) y(t) = 匠| | | dx dt. dy dt dt =x-2 = y + 2z = x+y+z z(t) =
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