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Consider the initial value problem x (t) = Ax (t), where 1 - (236 ²). 8 C1 A = The eigenpairs of A are given as - (-12) ₁ Find the integer values of c₁ and c₂ such that x(t) = C₁V₁e₁t+C₂V₂¹₂ solves the initial value problem. A₁ = 11, V₁ = Enter the values of: x (0) = (-63 C2 and 1 - (¹²3). A2 = 20, V₂ =

Consider the initial value problem x (t) = Ax (t), where 1 - (236 ²). 8 C1 A = The eigenpairs of A are given as - (-12) ₁ Find the integer values of c₁ and c₂ such that x(t) = C₁V₁e₁t+C₂V₂¹₂ solves the initial value problem. A₁ = 11, V₁ = Enter the values of: x (0) = (-63 C2 and 1 - (¹²3). A2 = 20, V₂ =

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 initial value problem x (t) = Ax (t), where - (236 C1 A = 1 8 The eigenpairs of A are given as - (-12) ₁ Find the integer values of c₁ and c₂ such that x(t) = C₁V₁e₁t+C₂V2¹2 solves the initial value problem. A₁ = 11, V₁ = Enter the values of: x (0) = (-33 C2 and A2 = 20, V₂ = 1 3
Transcribed Image Text:Consider the initial value problem x (t) = Ax (t), where - (236 C1 A = 1 8 The eigenpairs of A are given as - (-12) ₁ Find the integer values of c₁ and c₂ such that x(t) = C₁V₁e₁t+C₂V2¹2 solves the initial value problem. A₁ = 11, V₁ = Enter the values of: x (0) = (-33 C2 and A2 = 20, V₂ = 1 3
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