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The system in Section 3.2 - Exercise 3 (previous page): dy dr 5x + 4y dt 9x dt

The system in Section 3.2 - Exercise 3 (previous page): dy dr 5x + 4y dt 9x dt

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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dx 3. The system in Section 3.2 - Exercise 3 (previous page): 5x + 4y dt dy = 9x dt 4. Refer to the IVP in Section 3.2 - Exercise 4 (previous page) Sketch the solution curves in the phase plane and the x(t)- and y(t)-graphs for the solutions corresponding to the IVP specified. dx = -2x – 2y dt dy = -2x + y, dt where the initial condition (x(0), y(0)) is (1,0).
Transcribed Image Text:dx 3. The system in Section 3.2 - Exercise 3 (previous page): 5x + 4y dt dy = 9x dt 4. Refer to the IVP in Section 3.2 - Exercise 4 (previous page) Sketch the solution curves in the phase plane and the x(t)- and y(t)-graphs for the solutions corresponding to the IVP specified. dx = -2x – 2y dt dy = -2x + y, dt where the initial condition (x(0), y(0)) is (1,0).
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