Question

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))

Answer 1

女-え山叶9g。a -O dt dt dt? db ie 4.ee + 3Cee 04)(0+9)χ+ (49-4) (0+4):

0-1-4-5 -2k 40.e 2 40 Lo 20 P-个 -와

匕 -) tr.sn-4-P-qr.,.)ฯ.ฮ 50 uneu 2k