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13 Nov 2019
Problem 3 please!
HW14 pdf 2. (15 pts) Consider the linear homogeneous system of 2 equations and 2 unknowns, Az. The matrix A, and one pair of it's eigenvalues and eigenvectors are given (you do NOT have to rederive the eigenvalues or eigenvectors). Sketch (by hand) the phase portraits. Be sure to label your axis. A= =11-11, 0-1 1 0] 3. (15 pts) Consider the following second-order constant coefficient differential equation y"+2y' + 5y = 0 (a) (4 pts) Solve as a second-order constant coefficient equation. (b) (3 pts) Rewrite the second-order constant coefficient differential equation as a system of 2 equations and 2 unknowns, x1(t) and r2(t). Label your variables clearly. (c) (5 pts) Solve the system of equations. Write your solution in non-matrix form: Zi (t) = Z2(t) = ⦠(d) (3 pts) Is your answer to (c) consistent with your answer in (a)? Check both ri(t) and r2(t).
Problem 3 please!
HW14 pdf 2. (15 pts) Consider the linear homogeneous system of 2 equations and 2 unknowns, Az. The matrix A, and one pair of it's eigenvalues and eigenvectors are given (you do NOT have to rederive the eigenvalues or eigenvectors). Sketch (by hand) the phase portraits. Be sure to label your axis. A= =11-11, 0-1 1 0] 3. (15 pts) Consider the following second-order constant coefficient differential equation y"+2y' + 5y = 0 (a) (4 pts) Solve as a second-order constant coefficient equation. (b) (3 pts) Rewrite the second-order constant coefficient differential equation as a system of 2 equations and 2 unknowns, x1(t) and r2(t). Label your variables clearly. (c) (5 pts) Solve the system of equations. Write your solution in non-matrix form: Zi (t) = Z2(t) = ⦠(d) (3 pts) Is your answer to (c) consistent with your answer in (a)? Check both ri(t) and r2(t).
Trinidad TremblayLv2
22 Aug 2019