Question

(1 point) Consider the linear system a. Find the eigenvalues and eigenvectors for the coefficient matrix. b. Find the real-valued solution to the initial value problem S = = 3y + 2y, -5yı - 3y2 10) = 1, 20) = -5. Usef as the independent variable in your answers. y (4) = y =
Please answer all parts and box answers

Answer 1

S -3 07-7-) –12](Mati (-5) = 0 For iguales les o I + 4+1=0 = 1 = for dei ( ) = (*) = (3-1), +2V2 =0 -2 ; = 3-1 -2. V. (3-0) ļ= 3+1 = ru l=10 for d=-1 sti 0+i) v + 2q =0 (2+i) v + 2 kq =0 10 1-5 --il - 2 t -2 Cost Is Solution to ai ; -(0) (szi ū +(3:) : * = 2* (*) - (est tising) () - live + ( sit-cot) 3 sint - Cost (Costtisi 3 cost + Sint / -2 Cost / -2 sint C 1. 93 album one) * (-core) y = I + 3 Sint-Cat I lost + Sint

but you (o)=900)*"10) 7 -261-1 174 E 7: Come 366E-5 -G = -52 67 - 2 sint i ý = 1/-2 cost 3 sint cost I cost & Sint / 5 = (start this one) - () i g = cost-7 sint - 5 Cost tlo sint