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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As fast as possible please! Please provide a typewritten solution , I would be increadibly greatful. Problem 2 Calculus

Use the operator method described in this section to find the general solution of each of
the following linear systems.
dx, dy
+
dt
dx
2.
dt
dy
- x = - 2t,
1.
2x – 4y = e',
|
|
dt
dt
dx , dy
+
dt
dx
dy
y = e“.
3x – y = t?.
|
dt
dt
dt
dx, dy
3.
+
dt
dx
4.
dt
dy
x - 3y = e',
- x - 2y = 2e',
dt
-
-
dt
dx , dy
+
dt
+ x = e3!.
dx , dy
+
dt
3х — 4у %3D е".
-
dt
dt
dx , dy
5. 2-
dt
x - y = e',
dx , dy
6. 2
dt
- 3x - y = t,
dt
--
-
dt
dx
dy
dx
+ 2x + y = e'.
dt
dy
- 4x — у — е'.
dt
dt
dt
+
Transcribed Image Text:Use the operator method described in this section to find the general solution of each of the following linear systems. dx, dy + dt dx 2. dt dy - x = - 2t, 1. 2x – 4y = e', | | dt dt dx , dy + dt dx dy y = e“. 3x – y = t?. | dt dt dt dx, dy 3. + dt dx 4. dt dy x - 3y = e', - x - 2y = 2e', dt - - dt dx , dy + dt + x = e3!. dx , dy + dt 3х — 4у %3D е". - dt dt dx , dy 5. 2- dt x - y = e', dx , dy 6. 2 dt - 3x - y = t, dt -- - dt dx dy dx + 2x + y = e'. dt dy - 4x — у — е'. dt dt dt +
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