<p>I need to find the Wronskain of two solutions of a given equation without sol

Question

<p>I need to find the Wronskain of two solutions of a given equation without solving the equation. I don't really know how to approach this, and there aren't any solutions of this kind posted for my textbook on cramster.<br /><br />one example (that is not HW) is:<br />(cos t)y" + (sin t)y' - ty = 0<br /><br />how can I find the wronskian of a solution set without finding the solutions? I know how to solve the equation to find a set a fundamental solutions, and I know how to find the wronskian of those solutions. But&#160;I really don't even know how to start this.<br /><br />another example is:<br />x²y" + xy' + (x² - v²)y = 0 (Bessel's equation)</p>
<p>&#160;</p>
<p>If anyone can show me how to do this for either equation I would really appreciate it.</p>

Explanation / Answer

Wronskain = y1(y2') - y2(y1') Or by a matrix, but you will still have to solve the DE. It is a simple method, usually by using cases.

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