Solve the system of differential equations - 50 - 10 X' [ x 207 41 x₁(0) = 11, x₂(0) = − 50 x₁ (t) = x₂ (t) = Question Help: Submit Question Message instructor
Solve the system of differential equations - 50 - 10 X' [ x 207 41 x₁(0) = 11, x₂(0) = − 50 x₁ (t) = x₂ (t) = Question Help: Submit Question Message instructor
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
![**System of Differential Equations Problem**
**Task:**
Solve the system of differential equations given by:
\[ x' = \begin{bmatrix} -50 & -10 \\ 207 & 41 \end{bmatrix} x \]
with the initial conditions:
\[ x_1(0) = 11, \quad x_2(0) = -50 \]
**Instructions:**
You are required to find \( x_1(t) \) and \( x_2(t) \) from the system.
**Input Fields:**
- \( x_1(t) = \) [Input Box]
- \( x_2(t) = \) [Input Box]
**Additional Help:**
If you need assistance, you can contact the instructor by clicking the "Message instructor" link.
**Final Step:**
Once you have filled out the solutions, submit your answer by clicking the "Submit Question" button.
**Note:**
Ensure that your solutions for \( x_1(t) \) and \( x_2(t) \) are accurate and meet the initial conditions provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3733a5-5e9e-433b-b6d1-2cfec636672d%2F61889af7-06c6-4a9e-8fc1-21081932388d%2F2qg2my8_processed.png&w=3840&q=75)
Transcribed Image Text:**System of Differential Equations Problem**
**Task:**
Solve the system of differential equations given by:
\[ x' = \begin{bmatrix} -50 & -10 \\ 207 & 41 \end{bmatrix} x \]
with the initial conditions:
\[ x_1(0) = 11, \quad x_2(0) = -50 \]
**Instructions:**
You are required to find \( x_1(t) \) and \( x_2(t) \) from the system.
**Input Fields:**
- \( x_1(t) = \) [Input Box]
- \( x_2(t) = \) [Input Box]
**Additional Help:**
If you need assistance, you can contact the instructor by clicking the "Message instructor" link.
**Final Step:**
Once you have filled out the solutions, submit your answer by clicking the "Submit Question" button.
**Note:**
Ensure that your solutions for \( x_1(t) \) and \( x_2(t) \) are accurate and meet the initial conditions provided.
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