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Question 7. a) Find the unique solution of the system of differential equations dg g+h dt dh g - h dt satisfying g(0) = 1, h(0) = -(1+ v2). b) The solution gives a curve in the plane which can be described as: g(t)=(e^{at)+e^(-at))/2, a=(2)^(1/2) (a=square root of 2) g(t)=e^{at), a=(2)^(1/2) (square root of 2) g(t)=e^(at), a=(3)^(1/2) (square root of 2) g(t)=e^{at), a=-(2)^(1/2) (minus square root of 2)

Question 7. a) Find the unique solution of the system of differential equations dg g+h dt dh g - h dt satisfying g(0) = 1, h(0) = -(1+ v2). b) The solution gives a curve in the plane which can be described as: g(t)=(e^{at)+e^(-at))/2, a=(2)^(1/2) (a=square root of 2) g(t)=e^{at), a=(2)^(1/2) (square root of 2) g(t)=e^(at), a=(3)^(1/2) (square root of 2) g(t)=e^{at), a=-(2)^(1/2) (minus square root of 2)

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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Question 7. a) Find the unique solution of the system of differential equations dg = g+h dt dh g - h dt satisfying g(0) = 1, h(0) = -(1+ v2). b) The solution gives a curve in the plane which can be described as: g(t)=(e^{at)+e^(-at))/2 , a=(2)^(1/2) (a=square root of 2) g(t)=e^{at), a=(2)^(1/2) (square root of 2) g(t)=e^{at), a=(3)^(1/2) (square root of 2) O g(t)=e^{at), a=-(2)^(1/2) (minus square root of 2)
Transcribed Image Text:Question 7. a) Find the unique solution of the system of differential equations dg = g+h dt dh g - h dt satisfying g(0) = 1, h(0) = -(1+ v2). b) The solution gives a curve in the plane which can be described as: g(t)=(e^{at)+e^(-at))/2 , a=(2)^(1/2) (a=square root of 2) g(t)=e^{at), a=(2)^(1/2) (square root of 2) g(t)=e^{at), a=(3)^(1/2) (square root of 2) O g(t)=e^{at), a=-(2)^(1/2) (minus square root of 2)
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