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Solve the linear system x'(t) = x(t) + 2y(t) - z(t) y'(t) = x(t)- y(t) z'(t) = 2x(t) - 2y(t), ter according to the following hint. (Hint: The general solution of the system of nxn linear differential equations of the (x₁ (t)\ x₂ (t) xn(t), is given by the relation e" = = 0 + Σ, for r=At, r=Dt and for re{-1,0,1}. first order X'(t) = AX(t), where X(t) = ,teR, A=Mnn (R), 72

Solve the linear system x'(t) = x(t) + 2y(t) - z(t) y'(t) = x(t)- y(t) z'(t) = 2x(t) - 2y(t), ter according to the following hint. (Hint: The general solution of the system of nxn linear differential equations of the (x₁ (t)\ x₂ (t) xn(t), is given by the relation e" = = 0 + Σ, for r=At, r=Dt and for re{-1,0,1}. first order X'(t) = AX(t), where X(t) = ,teR, A=Mnn (R), 72

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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6 Solve the linear system x´(t) = x(t) + 2y(t) – z(t) y'(t) = x(t) - y(t) z'(t) = 2x(t) - 2y(t), tER according to the following hint. (Hint: The general solution of the system of nxn linear differential equations of the (x₁ (t)\ x₂( teR, A=Mnn (R), x₁ (t). first order X'(t) = AX(t), where X(t) = +8 is given by the relation e" = rº + Σ, for r-At, r=Dt and for r= {-1,0,1}. 2
Transcribed Image Text:6 Solve the linear system x´(t) = x(t) + 2y(t) – z(t) y'(t) = x(t) - y(t) z'(t) = 2x(t) - 2y(t), tER according to the following hint. (Hint: The general solution of the system of nxn linear differential equations of the (x₁ (t)\ x₂( teR, A=Mnn (R), x₁ (t). first order X'(t) = AX(t), where X(t) = +8 is given by the relation e" = rº + Σ, for r-At, r=Dt and for r= {-1,0,1}. 2
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