Please show the work so I learn Find a general solution of the system: y1\'=3y1
ID: 1813377 • Letter: P
Question
Please show the work so I learn
Find a general solution of the system:
y1'=3y1 - 4y2 + 20cos(t)
y'2=y(base)1 - 2y(base)2
a.) y1=c1e^-t + 4c2e^t - 14cos(t) + 2sin(t),
y2=c1e^-t + c2e^t - 6cos(t) - 2sin(t)
b.) y1=c1e^-t + 4c2e^2t - 14cos(t) + 2sin(t),
y2=c1e^-t + c2e^2t - 6cos(t) - 2sin(t)
c.) y1=c1e^-t + 4c2e^2t + 14cos(t) + 2sin(t),
y2=c1e^-t + c2e^2t + 6cos(t) - 2sin(t)
d.) y1=c1e^6t + c2e^-6t - 1/4,
y2=c1e^6t - c2e^-6t - t
e.) None of the above; see Problem Work
Explanation / Answer
c.) y1=c1e^-t + 4c2e^2t + 14cos(t) + 2sin(t),
y2=c1e^-t + c2e^2t + 6cos(t) - 2sin(t)