(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

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# Homework Help: Differential Equations 2nd Order Linear Constant-coefficient Problem

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