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...Chapter linear systems of differential equations do not worry too much about your difculties in mathematics i can assure you that mine are still greater albert einstein coupled oscillators section we saw thenumericalsolutionofsecondorderequa m tions or higher be cast into rst order such sys tems typically the sense solution at least one k system depends on knowing other solutions many physical this coupling takes place naturally will introduce a simple model to illustrate there problems physics result is because most basic law given by newton s second which states if body experiences net force it accelerate thus x f ma figure spring mass since have general for three dimensional equation single wehavealreadyseenthesimpleproblemofamassonaspringasshown recall case restoring hooke kx where constant and elongation whenthespring positive negative when harmonic motion was found mx written as two terms unknown position velocity set y noting rewrite look more complicated consider blocks attache...