Please answer all parts and box answers (1 point) Consider the linear system a. Find the...
Problem 5. (1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. 1 = . and 12 = V2 = b. Find the real-valued solution to the initial value problem = -3y - 2y, 5y + 3y2 (0) = -11, y (0) = 15. Usef as the independent variable in your answers. y (t) = (1) =
Problem 5. (1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. and iz = b. Find the real-valued solution to the initial value problem - -3y - 2y2 Syı + 3y2 yı(0) = -7, (0) = 10 Use I as the independent variable in your answers. Y() = Note: You can earn partial credit on this problem. Problem 6. (1 point) Find the most general real-valued solution to the linear system of differential...
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(1 point) Consider the linear system ;' = -5 -3): a. Find the eigenvalues and eigenvectors for the coefficient matrix. 21 = v= and 12 = V2= II b. Find the real-valued solution to the initial value problem 3yı + 2y2, y = -5yı - 3y2, yı(0) = -4, y2(0) = 10. Use t as the independent variable in your answers. yı(t) = y2(t) =
(1 point) Consider the linear system 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix 0 and A b. Find the real valued solution to the initial value problem -392 5y + 3y (0) 9, y(0) - -10. Use t as the independent variable in your answers, (t)
(1 point) Consider the linear system 3 2 ' = y. -5 -3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 2 = 15 and 2 V2 b. Find the real-valued solution to the initial value problem Syi ly 3y1 + 2y2, -541 – 3y2, yı(0) = 0, y2(0) = -5. Use t as the independent variable in your answers. yı(t) y2(t)
Previous Problem Problem List Next Problem (1 point) Consider the linear system -3 -2 >= -3) y. 5 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. di = on = and 12 = · U2 b. Find the real-valued solution to the initial value problem { vi = -3yı – 2y2, 5yı + 3y2, yı(0) = 11, y2(0) = -15. y۔ = Use t as the independent variable in your answers. yı(t) = y2(t) =
(1 point) Consider the linear system 3 y y 5 3 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 2 0 and A2 = -1 02 -3- -3+1 b. Find the real-valued solution to the initial value problem Svi C = -3y - 2y2, 591 +372 y.(0) = 6, 32(0) = -15. Use t as the independent variable in your answers. yı() y2(t) = 0
(1 point) Consider the linear system -3 -2 333 5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. di = and 12 02 b. Find the real-valued solution to the initial value problem syi ly -341 – 2y2, 5y1 + 3y2, yı(0) = 11, y2(0) = -15. Use t as the independent variable in your answers. yı(t) y2(t)
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(1 point) Consider the linear system 3-1_3__3]; a. Find the eigenvalues and eigenvectors for the coefficient matrix. Vi = and 12 = -- b. Find the real-valued solution to the initial value problem (y 3yı + 2y2, -5yı - 3y2, yı (0) = 5, y2O) = -5. را Use t as the...
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(1 point) Consider the linear system 3'=[} }); a. Find the eigenvalues and eigenvectors for the coefficient matrix. EL and 12 = b. Find the real-valued solution to the initial value problem y! 3yı + 2y2, -5yı - 3y2, yı(O) = 5, y2(0) = -5. Use t as the independent variable in your answers. yi(t) = y2(t) =