The system tx' = ax is analogous to the second order euler equation. assuming that x = ξtr, where ξ is a constant vector, ξ and r must satisfy (a − ri)ξ = 0 in order to obtain nontrivial solutions of the given differential equation. referring to the information above, solve the given system of equations. assume that t > 0.

Lin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. she knows that the total cost to download 3 videos was $12. her work to find the equation is shown below. joylin’s work step 1 k= 3/12= 0.25 step 2 y= 0.25x where did joylin make her first error?