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Solve the following initial value problems: (a) x' = -x, y' = x + 2y; x(0) = 0, y(0) = 3.

Solve the following initial value problems: (a) x' = -x, y' = x + 2y; x(0) = 0, y(0) = 3.

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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Question about: LINE SYSTEMS: CONSTANT COEFFICIENTS, REAL EIGENVALUES

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1. Solve the following initial value problems: (a) x' = -x, y' = x + 2y; x (0) = 0, y (0) = 3. 1. (a) x(t) = 0, y(t) = 3e²t
Transcribed Image Text:1. Solve the following initial value problems: (a) x' = -x, y' = x + 2y; x (0) = 0, y (0) = 3. 1. (a) x(t) = 0, y(t) = 3e²t
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