Use the elimination method to find a general solution for the given linear system, where differentiation...
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 -...
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 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...
Use the elimination method to find a general solution for the given linear system, where the differentiation is with respect to t. x' = 6x – y y' = 6y – 9x
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...
Differential Equations Please help me with part b I already did part A Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. (D-1)u(3D+ 1)v-9 Eliminate v and solve the remaining differential equation for u. Choose the correct answer below 0 E. The system is degenerate. Now find v(t) so that v(t) and the solution for u(t) found in the previous step are a general solution to the system...
find the general solution of the differential equation by using the system of linear equation. please need to be solve by differential equation expert. d^2x/dt^2+x+4dy/dt-4y=4e^t , dx/dt-x+dy/dt+9y=0 Its answer will look lile that: x(t)= c1 e^-2t (2sin(t)+cos(t))+ c2 e^-2t (4e^t-3sin(t)-4cos(t))+ 20 c3 e^-2t(e^t-sin(t)-cos(t))+2 e^t, y(t)= c1 e^-2t sin(t)+ c2 e^-2t(e^t-2sin(t)-cos(t))+ c3 e^-2t(5e^t-12sin(t)-4cos(t))
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
II. Determine the general solution of the given 2nd order linear homogeneous equation. 1. y" - 2y' + 3y = 0 (ans. y = ci e' cos V2 x + C2 e* sin V2 x) 2. y" + y' - 2y = 0 (ans. y = C1 ex + C2 e -2x) 3. y" + 6y' + 9y = 0 (ans. y = C1 e 3x + c2x e-3x) 4. Y" + 4y = 0, y(t) = 0, y'(T) =...