11. Match each linear system with one of the phase plane direction fields. 1 -3 a....
Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) 2 1. y' ܒ ܝܕ IS 3 ? 2.4"-16 y 3 1 1 ? 3. 3 ? 4.5' 3 5 В A 12 1 1 с D
(1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips) ? 1. - ? 2 = ? 3. ?
**2 (1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) D$ 1.59 = [- 11111!IN IIIIII +1+ Note: To solve this problem, you only need to compute eigenvalues. In fact, it is enough to just compute whether the eigenvalues are
(1 point) Match each linear system with one of the phase plane vector fields. 71 1. z' = y2 y' = 2:22 1 ? ? ? 2. z' = sin(my) y = 1x 3. z' = y = y2 Itt til ? 4. x' = ry y'=1+y? 7 А - - V111111TININ I II/1
Problem 9. PREVIEW ONLY -- ANSWERS NOT RECORDED (1 point) Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) ? 1.7 -14 1 3 2 5 y 1 2. y 1. 1 3 А 111/ ? 3. U 1 3 2 2 1 - N1 . ? v 4.4 -3 0-2 y + 4 1 + II- IIII 11 + D Note:...
Match each system to a directional field below. 1. Match each system below to a direction field (i)-(iv) below: d x+y df = 2x +y (a) (b) dy dy = x + 2y di =xy1 di (d) (c) (i) (ii) (iv) (iii) 1. Match each system below to a direction field (i)-(iv) below: d x+y df = 2x +y (a) (b) dy dy = x + 2y di =xy1 di (d) (c) (i) (ii) (iv) (iii)
Problem 8. (1 point) 2. Find the most general es-valued solution to the inear system of diferential equations 7' = [-13]: x (1) C + C2 x2 (1) b. In the phase plane, this system is best described as a source / unstable node sink / stable node saddle center point / ellipses spiral source spiral sink none of those Problem 9. 11 point) Match each linear system with one of the phase plane direction fields. (The blue lines are...
Consider the non-linear system y-y(1-x-y). (a) Find equations for all of the x- and y-nullclines. (b) Find the coordinates of each equilibrium point of the system. (c) Sketch the nullclines in the phase plane. Clearly mark the equilibrium points. Also indicate the direction of flow on the nullclines. Consider the non-linear system y-y(1-x-y). (a) Find equations for all of the x- and y-nullclines. (b) Find the coordinates of each equilibrium point of the system. (c) Sketch the nullclines in the...
(1 point) Match each initial value problem with the phase plane plot of its solution. (The arrows on the curves indicate how the solution point moves as t increases.) A 4 1.9*= [a5 -5.) 3: 20) = [0] D 4 2.9*= [1 =7) »»0) = [.]. © 3.9*= [-2 ?)** 10) = [] B 4 1.3*= [0.5 -0.4)~: x = [] 0.4+ 0.27 -1 -0.5 0.5 1 y1 -0.27 -0.47 1 2 3 4 y1
The electric and magnetic fields of a plane TEM in lossless media are a in phase and perpendicular to each other b. out of phase and not perpendicular to each other c. in phase and not perpendicular to each other d. out of phase and perpendicular to each other