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(Consider the system of differential equations Verify that = - [13], 7. 7(0) = [1¹8]. ₁² [²] +₂²³ [1]. (t)=ce²t is a solution to the system of differential equations for any choice of the constants C₁ and C₂. Find values of C₁ and C₂ that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of '= Py. y(0) = o). y(t) = ( D-[i]+C .*[-]

(Consider the system of differential equations Verify that = - [13], 7. 7(0) = [1¹8]. ₁² [²] +₂²³ [1]. (t)=ce²t is a solution to the system of differential equations for any choice of the constants C₁ and C₂. Find values of C₁ and C₂ that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of '= Py. y(0) = o). y(t) = ( D-[i]+C .*[-]

Advanced Engineering Mathematics
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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Consider the system of differential equations Verify that *-[-]-[2] 7. 7(0) = = 3)=9² [i]+ge [1] (t)=ce²t is a solution to the system of differential equations for any choice of the constants C₁ and C₂. Find values of C₁ and C₂ that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of '= Py. y(0) = o) y(t) = ( [1]+ ). e²t [4] ). ele
Transcribed Image Text:Consider the system of differential equations Verify that *-[-]-[2] 7. 7(0) = = 3)=9² [i]+ge [1] (t)=ce²t is a solution to the system of differential equations for any choice of the constants C₁ and C₂. Find values of C₁ and C₂ that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of '= Py. y(0) = o) y(t) = ( [1]+ ). e²t [4] ). ele
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