- #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.