- #1
Weatherkid11
- 18
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Use the method of variation of parameters to find a particular solution of http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491914366328020687673812501253.gif
ok i know first i do http://forums.cramster.com/Answer-Board/Image/cramster-equation-200649191556328020690592562506754.gif then r = +/- 1i then i make that into the equation http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491921376328020729751937507714.gif so cosx is http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491919466328020718630062506728.gif and sinx is http://forums.cramster.com/Answer-Board/Image/cramster-equation-200649192286328020732811312508515.gif so now the wronskian is w= http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491923196328020739986312508678.gif which would be (cosx)(cosx) - (sinx)(-sinx). Now what do I do from here? I remeber something about integrals being used next, such as http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491928116328020769126937507389.gif and a u2 integral
ok i know first i do http://forums.cramster.com/Answer-Board/Image/cramster-equation-200649191556328020690592562506754.gif then r = +/- 1i then i make that into the equation http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491921376328020729751937507714.gif so cosx is http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491919466328020718630062506728.gif and sinx is http://forums.cramster.com/Answer-Board/Image/cramster-equation-200649192286328020732811312508515.gif so now the wronskian is w= http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491923196328020739986312508678.gif which would be (cosx)(cosx) - (sinx)(-sinx). Now what do I do from here? I remeber something about integrals being used next, such as http://forums.cramster.com/Answer-Board/Image/cramster-equation-2006491928116328020769126937507389.gif and a u2 integral
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