- #1
jake2
- 5
- 0
Homework Statement
solve:
160y''=160g-ky
y(0)=-200 and y'(0)=0
2. The attempt at a solution
I tried to use guess and check to solve this equation, but it didn't turn out nice at all...
y''=9.8 - (ky)/160
y''+(ky)/160 = 9.8, guess y=e^(λt), y'=λe^(λt), y''=λ^2e^(λt) : this gives
e^(λt)*(λ^2+(k/160))=9.8
Every problem that I've done has not had a term without a y'',y',and a y, so I have no idea where to go from here, or alternative methods to solving this problem.