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5. Solve the following simultaneous differential equations: dx dy (i) + 5x + y = et, x + 3y = e²t, dt dt dx dy dx dy (ii) + 2y = 2 cost - 7 sint, + + 2x = 4 cost - 3 sint, dt dt dt dt dx dy (iii) + 2x + 5y = et. dt dt + 4x + 3y = t, -

5. Solve the following simultaneous differential equations: dx dy (i) + 5x + y = et, x + 3y = e²t, dt dt dx dy dx dy (ii) + 2y = 2 cost - 7 sint, + + 2x = 4 cost - 3 sint, dt dt dt dt dx dy (iii) + 2x + 5y = et. dt dt + 4x + 3y = 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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5. Solve the following simultaneous differential equations: dx + 5x + y = et, dy dt - x + 3y = e²t, dt dx dy dx dy 2y 2 cost 7 sint, + + 2x = 4 cost - 3 sint, dt dt dt dt dx dy + 2x + 5y = et. dt dt (ii) + (iii) + 4x + 3y = t,
Transcribed Image Text:5. Solve the following simultaneous differential equations: dx + 5x + y = et, dy dt - x + 3y = e²t, dt dx dy dx dy 2y 2 cost 7 sint, + + 2x = 4 cost - 3 sint, dt dt dt dt dx dy + 2x + 5y = et. dt dt (ii) + (iii) + 4x + 3y = t,
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