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Suppose that you are considering a system of differential equations: dx = ax + by dt dy = cx + dy dt x Suppose you know that one solution to the system is ·D=0 LY Consider the following two statements and decide whether they are true. Statement 1: a 6] The matrix must have eigenvalues 4 and 8. d Statement 2: = 8et 1 +4e5t 8 Select one alternative: © Statement 1 is true and statement 2 is true. Statement 1 is false and statement 2 is true. Statement 1 is true and statement 2 is false. © Statement 1 is false and statement 2 is false. c = et and another is must also be a solution to the system. [] 5 [8] = est

Suppose that you are considering a system of differential equations: dx = ax + by dt dy = cx + dy dt x Suppose you know that one solution to the system is ·D=0 LY Consider the following two statements and decide whether they are true. Statement 1: a 6] The matrix must have eigenvalues 4 and 8. d Statement 2: = 8et 1 +4e5t 8 Select one alternative: © Statement 1 is true and statement 2 is true. Statement 1 is false and statement 2 is true. Statement 1 is true and statement 2 is false. © Statement 1 is false and statement 2 is false. c = et and another is must also be a solution to the system. [] 5 [8] = est

Advanced Engineering Mathematics
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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Suppose that you are considering a system of differential equations: dx = ax + by dt dy = cx + dy dt x Suppose you know that one solution to the system is ·D=40 = et Consider the following two statements and decide whether they are true. Statement 1: a 6] The matrix [a must have eigenvalues 4 and 8. d Statement 2: []=&- 1 8et +4e5t must also be a solution to the system. 8 Select one alternative: © Statement 1 is true and statement 2 is true. Statement 1 is false and statement 2 is true. Statement 1 is true and statement 2 is false. O Statement 1 is false and statement 2 is false. O and another is [] 5 [8] = est
Transcribed Image Text:Suppose that you are considering a system of differential equations: dx = ax + by dt dy = cx + dy dt x Suppose you know that one solution to the system is ·D=40 = et Consider the following two statements and decide whether they are true. Statement 1: a 6] The matrix [a must have eigenvalues 4 and 8. d Statement 2: []=&- 1 8et +4e5t must also be a solution to the system. 8 Select one alternative: © Statement 1 is true and statement 2 is true. Statement 1 is false and statement 2 is true. Statement 1 is true and statement 2 is false. O Statement 1 is false and statement 2 is false. O and another is [] 5 [8] = est
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