Given the following linear system of ODE: V₁' = 4V₁ +2V₂ V2' = 10/1-4/2 Solve the initial value problem, given y₁ (0) = 1 and y₂(0) = 2 O 1 e-6t y = 7/6 [1] e [1]et - 1/6 [¹] - [1] y = et + [2] =-1[1] y = + 5/6 [ -= ²¹] e- [3] ebt + -1/0+5/01/ y= y = -6t e e³t+ e-3t e-6t h e-bt
Given the following linear system of ODE: V₁' = 4V₁ +2V₂ V2' = 10/1-4/2 Solve the initial value problem, given y₁ (0) = 1 and y₂(0) = 2 O 1 e-6t y = 7/6 [1] e [1]et - 1/6 [¹] - [1] y = et + [2] =-1[1] y = + 5/6 [ -= ²¹] e- [3] ebt + -1/0+5/01/ y= y = -6t e e³t+ e-3t e-6t h e-bt
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.CR: Chapter 11 Review
Problem 12CR
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