1. The problem statement, all variables and given/known data use characteristic equation to solve y(4)-y=0 2. Relevant equations characteristic equation would be r4-1=0 3. The attempt at a solution my question is related to the number of roots. with r^4 that generally means there will be 4 roots? but theres only 3? 1,0,-1.... my calculator doesnt solve polynomials higher then third order so im just looking for clarification on this. would there be 4 roots and just one of them is repeated? so then the solution would be something like y(x)=c1er1x+c2er2x+(c3+c4x)er3x ... or are there just 3 roots and its y(x)=c1e^r1x + c2e^r2x + c3e^r3x ??