Question 8 (Revision: Unit 6) 5 marks Consider the following simultaneous linear differential equations. d.x = x dt dy =

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Question 8 (Revision: Unit 6) 5 marks Consider the following simultaneous linear differential equations. d.x = x dt dy =

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Question 8 Revision Unit 6 5 Marks Consider The Following Simultaneous Linear Differential Equations D X X Dt Dy 1
Question 8 Revision Unit 6 5 Marks Consider The Following Simultaneous Linear Differential Equations D X X Dt Dy 1 (21.42 KiB) Viewed 29 times
Question 8 (Revision: Unit 6) 5 marks Consider the following simultaneous linear differential equations. d.x = x dt dy =x-Y dt (a) Express the system of equations in matrix form. (b) Find the eigenvalues and eigenvectors of the matrix of coefficients. (c) Hence or otherwise find the general solution to this system. [1] [3] [1]
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