Use the operator method described in this section to find the general solution of each of the following linear systems. dx dx , dy dy + dt 1. 2x – 4y = e', x = - 2t, dt | dt dt dx dy dx , dy = e*". - 3x – y = t². dt dt dt dt dx dy dx dy — х — 2у — 2e', dt + x - 3y = e', dt dt dt dx dy + x = e3!. dt dx dy - 3x – 4y = e2". dt dt dt dx , dy 5. 2 dt dx, dy + dt — х — у%3Dе", 6. 2 - 3x – y = t, -- dt dt dx dy dx dy + 2x + y = e'. dt - 4x — у %3 е'. dt dt dt + + + 2. 4. 3.
Use the operator method described in this section to find the general solution of each of the following linear systems. dx dx , dy dy + dt 1. 2x – 4y = e', x = - 2t, dt | dt dt dx dy dx , dy = e*". - 3x – y = t². dt dt dt dt dx dy dx dy — х — 2у — 2e', dt + x - 3y = e', dt dt dt dx dy + x = e3!. dt dx dy - 3x – 4y = e2". dt dt dt dx , dy 5. 2 dt dx, dy + dt — х — у%3Dе", 6. 2 - 3x – y = t, -- dt dt dx dy dx dy + 2x + y = e'. dt - 4x — у %3 е'. dt dt dt + + + 2. 4. 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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