7. The general solution of a non homogeneous state-space equation is given below. Use the initial conditions to determine the value of C₁. 1 [x] = ₁₁ ¹² [2¹₁] + C₂ ²-² [2₁] + [ Cie (2) given x(0) = 0, x' (0) = 2 You calculated that C₁ 913 + 914 j Note that if C₁ is a real number that 914 = 0. 8. The specific solution of a state space equation is given below. Express the solution Q terms of sines and cosines using the Euler representation of the complex exponential. [i]=0.3 je 1-0.3 je ] You calculated that Q=q1scos(1) + qusin(1)
7. The general solution of a non homogeneous state-space equation is given below. Use the initial conditions to determine the value of C₁. 1 [x] = ₁₁ ¹² [2¹₁] + C₂ ²-² [2₁] + [ Cie (2) given x(0) = 0, x' (0) = 2 You calculated that C₁ 913 + 914 j Note that if C₁ is a real number that 914 = 0. 8. The specific solution of a state space equation is given below. Express the solution Q terms of sines and cosines using the Euler representation of the complex exponential. [i]=0.3 je 1-0.3 je ] You calculated that Q=q1scos(1) + qusin(1)
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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![7. The general solution of a non homogeneous state-space equation is given below. Use the initial
conditions to determine the value of C₁.
X
1
1
[*] = C₁ e ²¹ [₂2₁] + C₂ e ²¹ [ 2 ₁] + A
C₁e(2j)₁
e(-21).
given x(0) = 0, x' (0) = 2
j
-2
You calculated that C₁ = 913+914 j
Note that if C₁ is a real number that 914 = 0.
8. The specific solution of a state space equation is given below. Express the solution Q
terms of sines and cosines using the Euler representation of the complex exponential.
[9] = 0.3 je 1-0.3 je [j]
-
You calculated that Q=q1scos (1) +916sin (1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b9aed22-df0f-41b5-831a-9e403b3bc0c0%2F567d6b51-3d90-404b-bd73-9abc74fbad03%2Fqv7taw1g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. The general solution of a non homogeneous state-space equation is given below. Use the initial
conditions to determine the value of C₁.
X
1
1
[*] = C₁ e ²¹ [₂2₁] + C₂ e ²¹ [ 2 ₁] + A
C₁e(2j)₁
e(-21).
given x(0) = 0, x' (0) = 2
j
-2
You calculated that C₁ = 913+914 j
Note that if C₁ is a real number that 914 = 0.
8. The specific solution of a state space equation is given below. Express the solution Q
terms of sines and cosines using the Euler representation of the complex exponential.
[9] = 0.3 je 1-0.3 je [j]
-
You calculated that Q=q1scos (1) +916sin (1)
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