1. The problem statement, all variables and given/known data I have got the diff equ problem solved out to y(t)=Ce^-t*cos4t+Ce^-t*sin4t 2. Relevant equations now I have to solve for the IVP and the values are y(0)=1, yprime(0)=-1 3. The attempt at a solution I believe for the first part I just plug in the y(0)=1 which results in the e^-t dropping out coming out to be C=1 but I am not 100% on it. Then I am assuming I take the derivative and solve for the next value.