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Estudos Gerais05/02/2025

If the Wronskian of two functions y₁ and y2 is identically z...

If the Wronskian of two functions y₁ and y2 is identically zero, show by direct integration that

y₁ = cy₂;

that is, y₁ and y2 are dependent. Assume the functions have continuous deriva- tives and that at least one of the functions does not vanish in the interval under consideration.

If the Wronskian of two functions y₁ and y2 is identically zero, show by direct
integration that

y₁ = cy₂;

that is, y₁ and y2 are dependent. Assume the functions have continuous deriva-
tives and that at least one of the functions does not vanish in the interval under
consideration.
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