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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 4E
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**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.
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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