(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given that Φ_{2}= Φ_{1}* ∫ e^(-∫a(x)dx)) / (Φ_{1})^2 dx

and Φ_{1}= cos(ln(x)), a = 1/x, solve for Φ_{2}.

2. Relevant equations

3. The attempt at a solution

Φ_{2}= cos(ln(x)) * ∫ e^(-∫1/x dx)) / cos^(2)(ln(x)) dx

= cos(ln(x)) * ∫ e^(-ln(x)) / cos^(2)(ln(x)) dx

= cos(ln(x)) * - ∫ x / cos^(2)(ln(x)) dx

My problem begins here with trying to solve for that integral. I don't have the slightest idea where to begin, except maybe integration by parts.

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# Wronskian Second Solution/Differential Equations

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