Decomposition of 2 fourth order differential equations on 4 equations of second order - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-20T21:35:22Zhttp://mathoverflow.net/feeds/question/64197http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/64197/decomposition-of-2-fourth-order-differential-equations-on-4-equations-of-second-oDecomposition of 2 fourth order differential equations on 4 equations of second orderreptil2011-05-07T14:38:19Z2011-05-07T17:28:34Z
<p>How to make decomposition of 2 fourth order differential equations on 4 equations of second order</p>
<p>$$C_1x''''+C_2x'''+C_3x''+C_4x'+C_5x-C_6y''-C_7y=0$$</p>
<p>$$D_1y''''+D_2y'''+D_3y''+D_4y'+D_5y-D_6x''-D_7x=0$$</p>
<p>Known constants $$C_i, D_i$$</p>
<p>Thank you in advance</p>