- #1
mgier001
- 12
- 0
My professor assigned us a problem where
m=16 lb
k=10 lb/ft
a=2
t(0)=1 ft
t'(0)=0 ft/sec
Through this I determined the DE
x''(t)+4x'(t)+20x(t)=e-t
with initial conditions mentioned above.
Using the method of m2+4m+20=0
I got roots of -2±4i
Therefore, my yc=e-2t[c1sin(4t)+c2cos(4t)]
Next I attempted to solve further the problem, but I did not understand what to do as the examples I could find throughout the internet and my textbook all are regarding F(t)=cos(t) or similar.
Any help or guidance would be appreciated. Unfortunately the problem is due tomorrow morning so any quick help is more preferred ;)
Thanks ,
Matt!
m=16 lb
k=10 lb/ft
a=2
t(0)=1 ft
t'(0)=0 ft/sec
Through this I determined the DE
x''(t)+4x'(t)+20x(t)=e-t
with initial conditions mentioned above.
Using the method of m2+4m+20=0
I got roots of -2±4i
Therefore, my yc=e-2t[c1sin(4t)+c2cos(4t)]
Next I attempted to solve further the problem, but I did not understand what to do as the examples I could find throughout the internet and my textbook all are regarding F(t)=cos(t) or similar.
Any help or guidance would be appreciated. Unfortunately the problem is due tomorrow morning so any quick help is more preferred ;)
Thanks ,
Matt!