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On question 23 of 4.1.2 problems from 11th edition of A First Course in Differential Equations...

On question 23 of 4.1.2 problems from 11th edition of A First Course in Differential Equations with modeling applications by Zill, why do we make the Wronskian only to the first derivative? Why don't we have to do it do the second derivative and get a 2 by 3 matrix since the original equation given includes 2nd derivative of y?

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