Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5+3i and corresponding eigenvector Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. -est cos(3t) – e³" sin(31) ở. y1(t) = -est sin(3t) et cos (3t) – et sin( 3t) ở 72(t) = est sin(3t)
Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5+3i and corresponding eigenvector Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the fundamental set consists entirely of real solutions. Enter your solutions below. Use t as the independent variable in your answers. -est cos(3t) – e³" sin(31) ở. y1(t) = -est sin(3t) et cos (3t) – et sin( 3t) ở 72(t) = est sin(3t)
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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Chapter 7.1 Question 3
Transcribed Image Text:Suppose A is a 2 x 2 real matrix with an eigenvalue A = 5 + 3i and corresponding eigenvector
+
Determine a fundamental set (i.e., linearly independent set) of solutions for j' = Aj, where the
fundamental set consists entirely of real solutions.
Enter your solutions below. Use t as the independent variable in your answers.
A
-e" cos (3t) – et sin(31) ở
71(t) =
,5t
sin( 3t)
et cos (3t) – ei sin( 3t)
Ý2(t) =
est
sin(3t)
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