- #1
Mikesgto
- 18
- 0
Homework Statement
y''+7y'=392sin(7t)+686cos(7t) with y(0)=4 and y'(0)=9
Homework Equations
No real relevant equations
The Attempt at a Solution
I assumed since the g(t) has function of both sine and cosine the solution would be both the real and non real parts of the solution to
y''+7y'=1078e^(7it)
my solution came out to be
77/24tcos(7t)+539/24tsin(7t)+i[77/24tsin(7t)-539/24tcos(7t)]
but given the initial conditions, i don't know what happen to my C's.
Also, if anyone could explain this method in a way that is easy to understand, I would appreciate it. I tried following the class notes, but it was of little help.
Thank you.