The general solution to 4 -1 -8 x can be given by OA Ge-6t OH Cle-6t...
+ c2e6t The general solution to x = (1-4) -4 4 -1 -8 X can be given by OA Cie-6t 2 -1 + cze6t O4 -6t Се [-( )+(:)] ( 21 ) +c8e-4 [-(-2) + (:)] [*( )+()] (-1) [:( 21 ) +()] OL -6t Cle-6t 2 -1 ( ) + cze -6t Ce 6t + cze 2 2 O Cie-6t t +
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
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
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-
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
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 +...
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 10 d x dt2 -7x + y = 0 Use the elimination method to find a general solution to the given system. dy 7x + dt? -7y=e4t x(t) OA y(t) = x(t) ов. y(t) = 1 32 x(t) 32e4t+CZ+Czt-Cze 14t-ce-V14t 32@4t+C+c2t+Czevz4t-cze Ce-/141 32 @4t+CZ+Czt+Czev14t+Ce=V14t 24t+c+C2t+Czev 14t+Cge=V147 *+C+Cat-Czev14t -Ce-/147 €4t+c7+zt+Cze/14t+Cae 24t+C+Czt-Czev 14t-Cae (0) 14+C+CD+C;ev/ |X(t) =- 32°4*+c4+Cat-cz 24t+C+Czt-Cze/14t+cev ********(+6+(30/14-Ge/14 OC 7 - eft, 32 9 32 y(t) = 7 x(t) =- 32 14t - 14t 14t