Consider the Pair of Functions Y₁ = T and Y₂

Multiple Choice

Consider the pair of functions y₁ = t and y₂ = 3t².
Which of these statements are true? Select all that apply.

A) W[y₁ , y₂](t) > 0 for all values of t in the interval (-2, 2) .
B) W[y₁ , y₁](t) = 3t²
C) The pair y₁ and y₂ constitutes a fundamental set of solutions to some second-order differential equation of the form on the interval (-2, 2) .
D) Abel's theorem implies that y₁ and y₂ cannot both be solutions of any differential equation of the form on the interval (-2, 2) .
E) Since there exists a value of t₀ in the interval (-2, 2) for which W[y₁ ,y₂ ](t) = 0, there must exist a differential equation of the form for which the pair y₁ and y₂ constitute a fundamental set of solutions on the interval (-2, 2) .