Consider the pair of functions y₁ = ln t and y₁ = t ln t. Which of these statements is true? A) Both y₁ and y₂ can be solutions of the differential equation on the interval (0, $\infty$), where p(t) and q(t) are continuous on (0, $\infty$). B) The Wronskian for this function pair is strictly positive on (0, $\infty$). C) Abel's theorem implies that y₁ and y₂ cannot both be solutions of any differential equation of the form on the interval (0, $\infty$). D) The pair y₁ and y₂ constitutes a fundamental set of solutions to some second-order differential equation of the form on the interval (0, $\infty$).

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The Answer of Consider the pair of functions y₁ = ln t and y₁ = t ln t. Which of these statements is true? A) Both y₁ and y₂ can be solutions of the differential equation on the interval (0, $\infty$), where p(t) and q(t) are continuous on (0, $\infty$). B) The Wronskian for this function pair is strictly positive on (0, $\infty$). C) Abel's theorem implies that y₁ and y₂ cannot both be solutions of any differential equation of the form on the interval (0, $\infty$). D) The pair y₁ and y₂ constitutes a fundamental set of solutions to some second-order differential equation of the form on the interval (0, $\infty$).

Consider the Pair of Functions Y1 = Ln T and Y1

Consider the Pair of Functions Y₁ = Ln T and Y₁