dx -7x +y = 0 dt2 Use the elimination method to find a general solution to...
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
QUESTION 21 d2x Use the elimination method to find a general solution to the given system. -7x +y = 0 dt2 dy 7x + -7y =e4t dt ОА. 14t x(t) 32 -V14t y(t) 32 x(t)-724++Ct-Cov14t.co/147 y(t) = 32e4t+C+Cyt+Czev14t+Cge-V147 4++52-5e/14-G2/14 @4t+C+C2t+CzeV14t-ce x(+)--t-C+CD+Cge/246-Gev147 (t) = 32 24t+CZ+C2t+Czev14t+c :-/14t 24+C1+Czt-Czev14t-Cae V14t y(t) = 32e4+G+(zt+Cşev 14t+Cge V14t 24t+c+czt-Cze/14t-Cge-V147 €4t+Cy+C2t+Czev14+ X(t) == 7 32 7 4t x(t) OE y(t) = 2 32 9 32 14t
use the general elimination method to find aa general solution to the given system d2x/dt2 -7x + 7y = 0 7x + d2y/dt2 - 7y = e^(4t)
Find a general solution to the given homogeneous equation. (D+1)?(0-9)º(D+3)(D+ 1) (D? + 49) [y] = 0 Choose the correct answer below. - 3x OA y(x) = C, e ** + C2 e 9x + Cze + C4 COS X + Cs sin x + Cocos 7x + C7 sin 7x OB. y(x) = C, e* + Cze - 9x + C3 e 3x + Ce cos x+Cs sin x+Cg cos 7x+ Cy sin 7x Oc. y(x) = C, e...
Part B please! Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 9x - 10y + sint y' = 5x -y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. 51 O A. y(t) = C, e -41 cos 5t + Cge -41 sin 5t + no cost + 200 sint O B. y(t) =C, e4+ Czte 4 + 2...
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t 2x' + y' - 8x - 9y = e-t x' +y' +9x + 4y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. X(t)= C1 e 7t + Cze - 7t + 58 e-t- et O B. X(t) = Cy cos (7t) + C2 sin (7t) OC. x()=C7 e...
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t * = 4x - 5y oy = 5x + 4y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, "cos 5t+C2 et sin 5t OB. y(t) = C, e " + Cate OC. y(t) = C, e - 4 cos 5t+Cze-4 sin 5t OD. y(t) = C, -4+ Cyte...
Help its for my Final Homework Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 3x - 4y + sint y' = 2x-y-cost Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. sint sint 10 cost + CA. y(t) = C, e cos 2t + Czesin 2t + 10 -cost 10 9 3 O B. y(t) = C, e -...
Use the elimination method to find a general solution. x(t), y(t) for the given system. · = x + 2y dy = -4x - 3y dt
Use the elimination method to find a general solution for the given inear system, where differentiation is with respect to t. 3x +2y = 0 x- yo Eliminato x and solve the remaining differential equation for y. Choose the correct answer below. O AY) - Cocos (-74) OB. y)=C O c. y)-C sin (-70) OD YN-C2- O E. The system is degenerate Now find so thatxt) and the solution for yt) found in the previous stop are a general solution...