(1 point) Solve the system -16 6 dx dt -36 14 with the initial value 13 a(t) (1 point) Solve the system -16 6 d...
(1 point) Solve the system 14-36 dx dt 6-16 with the initial value -20 x(0) = -8 x(t) =
(1 point) solve the system 18-21 dx X dt 14-17 with the initial value -16 x(0) = ༈ ༈་ -12 xt) =
(1 point) Solve the system dx 1842 dt with the initial value x(0) - -1 x(t) -
(1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.) (1 point) A. Solve the following initial value problem: dy dt cos (t)-1 with y(6) tan(6). (Find y as a function of t.)
(1 point) Consider the initial value problem dx [2 -5 dt 15 2 (a) Find the eigenvalues and elgenvectors for the coefficient matrix and λ2-2-51 (b) Solve the initial value problem. Give your solution in real fornm. x(t)
Solve the given initial value problem. x(0) = 1 dx = 4x +y- e 3t, dt dy = 2x + 3y; dt y(0) = -3 The solution is X(t) = and y(t) =
(1 point) Solve the initial value problem dx -H x(0) х, dt Give your solution in real form. x(t) Use the phase plotter pplane9.m in MATLAB to determine how the solution curves (trajectories) of the system x' = Ax behave. A. The solution curves race towards zero and then veer away towards infinity. (Saddle) B. All of the solution curves converge towards 0. (Stable node) C. All of the solution curves run away from 0. (Unstable node) D. The solution...
(1 point) Solve the system 17 7 dr dt 42 18 with the initial value -4
Problem 2. Solve the given initial-value problem: dx = -xt, r(0) = 1/VT 1. dt dy 2. dt y(0) = 4 y – t?y'
1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory. 1 point) Solve the system 5 -1 dx lc dt 2 with x (0) = Give your solution in real form. An ellipse with clockwise orientation 1. Describe the trajectory.