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
Problem 1RQ
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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
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F864bccc1-9462-48de-9cb5-099c833cc182%2Ff526b43e-5185-4b0f-8e83-2b965789e148%2Fm7q5jvu_processed.png&w=3840&q=75)
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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