This one got me alittle discombobulated. Initiallly I thought they wanted me to find a particular solution, which I did. But then later I saw it supplied to intial conditions. So I guessed y = Asin(5t)+Bcos(5t) then took derivatives, and applied the intial conditions but also was wrong. Here is the question:(adsbygoogle = window.adsbygoogle || []).push({});

Find the solution of

y'' + 5y' = 400sin(5 t) + 250cos(5 t)

with y(0) = 8 and y'(0) = 8 .

y =

Here is my work:

http://suprfile.com/src/1/1voo2y/lastscan.jpg [Broken]

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Y'' + 5y' = 400 sin(5 t) + 250 cos(5 t), but also has inital conditions? Diff EQ

**Physics Forums | Science Articles, Homework Help, Discussion**