The system of first order differential equations: has solution: y₁ (t) Y₂(t) - = Note: You must express the answer in terms of real numbers only. S3/1₁ ly/2 = = -8 y₁ + 2 y2, -52 yı + 12 y2, y₁ (0) Y₂ (0) = -4 = -25
The system of first order differential equations: has solution: y₁ (t) Y₂(t) - = Note: You must express the answer in terms of real numbers only. S3/1₁ ly/2 = = -8 y₁ + 2 y2, -52 yı + 12 y2, y₁ (0) Y₂ (0) = -4 = -25
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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Question
Transcribed Image Text:The system of first order differential equations:
has solution:
y₁ (t)
Y₂(t)
-
=
Note: You must express the answer in terms of real numbers only.
S3/1₁
ly/2
=
=
-8 yı + 2 y2,
-52 yı + 12 y2,
y₁ (0)
Y₂ (0)
= -4
= -25
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Follow-up Question
![has solution:
y₁ (t)
Y₂(t)
Entered
-[e^(2*t)]*[4*cos(2)*t+5*sin(2)*t]
At least one of the answers above is NOT correct.
=
-[e^(2*t)]*[25*cos(2)*t+21*sin (2)*t]
The system of first order differential equations:
-e²t (4 cos 2t + 5 sin 2t)
-e²t (25 cos 2t + 21 sin 2t)
Note: You must express the answer in terms of real numbers only.
Jy1₁1
ly/2
=
=
-8 y₁ + 2 y2,
-52 yı + 12 y2,
Answer Preview
-e²t (4 cos(2)t + 5 sin (2)t)
-e²t (25 cos (2)t + 21 sin(2)t)
Y₁(0)
= -4
Y₂(0) = -25
Result
incorrect
incorrect](https://content.bartleby.com/qna-images/question/94884f69-365e-43dc-a457-f3f8066ccdfc/1ff2024d-688c-4219-bc77-dde78fdd5be9/ovsnuoi_processed.png)
Transcribed Image Text:has solution:
y₁ (t)
Y₂(t)
Entered
-[e^(2*t)]*[4*cos(2)*t+5*sin(2)*t]
At least one of the answers above is NOT correct.
=
-[e^(2*t)]*[25*cos(2)*t+21*sin (2)*t]
The system of first order differential equations:
-e²t (4 cos 2t + 5 sin 2t)
-e²t (25 cos 2t + 21 sin 2t)
Note: You must express the answer in terms of real numbers only.
Jy1₁1
ly/2
=
=
-8 y₁ + 2 y2,
-52 yı + 12 y2,
Answer Preview
-e²t (4 cos(2)t + 5 sin (2)t)
-e²t (25 cos (2)t + 21 sin(2)t)
Y₁(0)
= -4
Y₂(0) = -25
Result
incorrect
incorrect
Solution
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