The given system of differential equations are as follows. z'₁(t)= -6.2+1.1z₁ -0.8z2 13.8+2.1z₁-1.2z₂ , z₁(0) = 11, z₂(0) = 4 z'₂(t) = -
The given system of differential equations are as follows. z'₁(t)= -6.2+1.1z₁ -0.8z2 13.8+2.1z₁-1.2z₂ , z₁(0) = 11, z₂(0) = 4 z'₂(t) = -
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
solve the linear non-homogeneous system of equations with the given initial conditions.
![The given system of differential equations is as follows:
\[ z'_1(t) = -6.2 + 1.1z_1 - 0.8z_2 \]
\[ z'_2(t) = -13.8 + 2.1z_1 - 1.2z_2 \]
with initial conditions \( z_1(0) = 11 \) and \( z_2(0) = 4 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6d0ee2cb-cfe2-4eb9-a097-d38324436758%2F8bed6e73-5953-4839-ad34-f7a4871879d8%2F8krocmo_processed.png&w=3840&q=75)
Transcribed Image Text:The given system of differential equations is as follows:
\[ z'_1(t) = -6.2 + 1.1z_1 - 0.8z_2 \]
\[ z'_2(t) = -13.8 + 2.1z_1 - 1.2z_2 \]
with initial conditions \( z_1(0) = 11 \) and \( z_2(0) = 4 \).
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