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The general solution to 4 -1 -8 x can be given by OA Ge-6t OH Cle-6t + Cze e-6t OL Cie-6t e-6 ( 21 ) +cze-x [y ( )+(?)] (?) • [:( 21 ) + ( ) (-1) [-(-) ()] ( 21 ) +ce-[:( - ) +(:)] (2) [:(-1) )+(?)] + Cze + cie-6t Ge-6t + cze e-6
QUESTION 19 The general solution to x = ( -4 -1 4 -8 ) X can be given by OA * Ciebt O alebt ** ( ) + 0***[:( - )+(0)] * ( 21 ) +*[:( 31 )+(?)] 2" ( ) +62[:( 21 )+(3) *** * ( 21 ) +me+ [:( 2 )+(:)] **cv-* ( 21 ) ++ [:(-2) +(:)] OL
QUESTION 19 The general solution to x = ( -4 -1 4 -8 ) X can be given by OA * Ciebt O alebt ** ( ) + 0***[:( - )+(0)] * ( 21 ) +*[:( 31 )+(?)] 2" ( ) +62[:( 21 )+(3) *** * ( 21 ) +me+ [:( 2 )+(:)] **cv-* ( 21 ) ++ [:(-2) +(:)] OL
QUESTION 19 The general solution to x = ( -4 -1 4 -8 ) X can be given by OA * Ciebt O alebt ** ( ) + 0***[:( - )+(0)] * ( 21 ) +*[:( 31 )+(?)] 2" ( ) +62[:( 21 )+(3) *** * ( 21 ) +me+ [:( 2 )+(:)] **cv-* ( 21 ) ++ [:(-2) +(:)] OL
Ox = C1e3t Find the general solution to the given system. de = 1 = 1 + 2y dy = 2x + y None of these 0x = Cie3t+cze- y=3c1e3+ + cze- y=cie3+ + 3c2e-t -t - Ox 2 = caeht Czert y=-cie3+ + 3c2e-t -t +cze Ox = cie3t y = cie + 3c2e-
14. Find the general solution of the following homogeneous system * (8 Puan) [29 X' х teze si x=ce [1] [2] =ce [1] + [2 U] X = cje! O X = ge! + Cest none of these X = cie X=3
Find the general solution for the given differential equation y" + 3y' + 2y = 12x2 Select one: a. Yg = cie" + cze 2 + 18 - 212 + 3.2 b. yg = cje" + cze 24 + 11 + 18x + 2x2 C. Yg = Cieľ + c2e22 + 2 - 11x + x2 d. y, =cje + cze 2x + 21 – 182 + 6x2
1.- The given family of solutions is the general solution of the differential equation on the indicated interval. Find a member of the family that is a solution of the initial value problem (a) y = cie" + c2e-, 2€ (-0,00) y" - y = 0, y(0) = 0, 10) = 1 y=cles + cze-, 1€ (-00,00) y" – 3y – 4y = 0, y(0) = 1, y(0) = 2 Cl2 + 2x log(x), t (0, x) ry" – ry'...
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...
sk 14. Find the general solution of the following homogeneous system (8 Puan) 3 2e5 = { ? ?]* O x=cie" [1] O X = cie? [i] O X = cie' < [1]+ x = cie [2] + czest [] + czer [3] + c2e [2] O none of these O X = cie ---°C]+[7)