Question

(1 point) Find y as a function of lif y" - 11y +24y = 0 y(0) - S WI) = 4 W = Remark: The initial conditions involve values at two points. Problem 4. (1 point) Find the solution to the linear system of differential equations 59x +84 -42x - 607 satisfying the initial conditions (0) = 10 and y(0) -7. = X(t) = y = Note: You can earn partial credit on this problem.

Answer 1

+ s st y" - 119 +24 y 2o s-colh y!1) 24 Aurilory equation - 11m + an 20 m²_3m - 8m +24 20 m (m-3) -8 (m 3) zo (m-3) (nog) eo m-3,8 Y(A) re Ci 9(0)5 52 , & Y(1) = 4 4= c. + ge في 5 Be + Cg e C (ere) 4-5e3 Caz 2 cas-h C = 5- Cg C = 5 5 - (4-5e3) ee3 C. z 5 5 -5e3 - 4+5e3 e-e3 C, z sery -e3 h-36) = (fih eet (4-5 e et + e8 e3 A

てー ()-(][ ::] जमहल Tidt og effe EgJ (8].[a] Los ef oftanuabia [/ X = 'n h-zy 75 gsm لبامو 1 =k IER let och + w is 'd+by Fly (3)-[8][ (31-08] [ 89 h- 9$ (A-AI) x = 0 & ex e of tepanuabla E'h-ex o e (htro (6-7) az el-/ * at solving P-og て一 2 84 59-0 Eigenvalues 1A-AI l=0 A 09- zh - x r = x X ch8 bsd cx SINIZ231HD [1] = x CA] het x = t-erogh hog - xth-k hnst nos x bs = x 01 -()

N seoh the &- - 4 est - ( HN tha ht 7 a 9 Coco rtia e the (E-) + [ sc] n.o tea h - ston am S = -3 halb get buingos -tot- t - - byty 2 [s.n.] + [as] [as] - [ -3/2 Cola E-a 01 - Cox [ch] est [vis] THON 1 [fok è yet et toga ng + solution is En % = x 24 = x usuf ty och an 18 tha 'n'y = X
like please