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b. Find the real-valued solution to the initial value problem 3y1 + 2y2, Y1 (0) = 2, -5y1 – 3y2, ½(0) :-5.

b. Find the real-valued solution to the initial value problem 3y1 + 2y2, Y1 (0) = 2, -5y1 – 3y2, ½(0) :-5.

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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Consider the linear system 3 2 ý. 3 -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. d1 = i and A, = -i -3+i -3-i b. Find the real-valued solution to the initial value problem 3y1 + 2y2, У (0) — 2, -5y1 3y2, Y2 (0) = -5. Use t as the independent variable in your answers. Y1 (t) Y2(t) = I| ||
Transcribed Image Text:Consider the linear system 3 2 ý. 3 -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. d1 = i and A, = -i -3+i -3-i b. Find the real-valued solution to the initial value problem 3y1 + 2y2, У (0) — 2, -5y1 3y2, Y2 (0) = -5. Use t as the independent variable in your answers. Y1 (t) Y2(t) = I| ||
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