Consider the system of differential equations y⃗ ′=[11−24]y⃗ , y⃗ (0)=[−71]. Verify that y⃗ (t)=c1e2t[2−1]+c2e3t[1−1]. is a solution to the system of differential equations for any choice of the constants c1 and c2. Find values of c1 and c2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of y⃗ ′=Py⃗ , y⃗ (0)=y⃗ 0).

60

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

correct answer:

b.(19,-2)

i think it might be a but you might want a second opinion