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Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y e³t C₁ cost + Casint, e³¹ C₁-C₁ cost-C₁ + С² sint X C₁ (sin(t)- cos (t), 2 cos(t))e³ +C₂(- sin(t) - cos(t), 2 sin(t))e²

Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y e³t C₁ cost + Casint, e³¹ C₁-C₁ cost-C₁ + С² sint X C₁ (sin(t)- cos (t), 2 cos(t))e³ +C₂(- sin(t) - cos(t), 2 sin(t))e²

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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I attached the same question example solution of how the final answer should be. please put the final answer the same way that i attached thank you.

Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y e³t C₁cost+C₂sint, e³t C₂-C₁ cost- C₁+C₂ sint 3t C₁ (sin(t) cos(t), 2 cos (t)) e³t+C₂ (sin(t) - cos(t), 2 sin(t))e³t
Transcribed Image Text:Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 4x + y = -2x + 2y e³t C₁cost+C₂sint, e³t C₂-C₁ cost- C₁+C₂ sint 3t C₁ (sin(t) cos(t), 2 cos (t)) e³t+C₂ (sin(t) - cos(t), 2 sin(t))e³t
Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 8x + y = -2x + 6y X Your answer cannot be understood or graded. More Information
Transcribed Image Text:Find the general solution of the given system. dx dt dy dt (x(t), y(t)) = = 8x + y = -2x + 6y X Your answer cannot be understood or graded. More Information
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