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dæ + 3x – y = 0, dt dy - Зу — 0. dt Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form = C1 Yı 1 et + C2 Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and y2 . Enter your values such that d1 < A2. Y1 Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as æ(t) and y(t), which satisfies the initial conditions ¤(0) = 4, y(0) = 18. ¤(t) = y(t) =

dæ + 3x – y = 0, dt dy - Зу — 0. dt Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form = C1 Yı 1 et + C2 Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and y2 . Enter your values such that d1 < A2. Y1 Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as æ(t) and y(t), which satisfies the initial conditions ¤(0) = 4, y(0) = 18. ¤(t) = y(t) =

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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Eigeenvalues and Eigenvectors, and particular soltions which satisfy conditions help

dæ + 3x – y = 0, dt dy - Зу — 0. dt Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form = C1 Yı 1 et + C2 Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and y2 . Enter your values such that d1 < A2. Y1 Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as æ(t) and y(t), which satisfies the initial conditions ¤(0) = 4, y(0) = 18. ¤(t) = y(t) =
Transcribed Image Text:dæ + 3x – y = 0, dt dy - Зу — 0. dt Write the system in matrix form and find the eigenvalues and eigenvectors, to obtain a solution in the form = C1 Yı 1 et + C2 Y2 where C1 and C2 are constants. Give the values of A1, Y1, A2 and y2 . Enter your values such that d1 < A2. Y1 Y2 Input all numbers as integers or fractions, not as decimals. b) Find the particular solution, expressed as æ(t) and y(t), which satisfies the initial conditions ¤(0) = 4, y(0) = 18. ¤(t) = y(t) =
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