derivative securities courant institute fall 2008 http www math nyu edu faculty goodman teaching derivsec08 index html jonathan goodman and keith lewis supplementary notes and comments section 8 1 dynamics ...
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...Derivative securities courant institute fall http www math nyu edu faculty goodman teaching derivsec index html jonathan and keith lewis supplementary notes comments section dynamics initial values nal suppose f t represents the state of a system at time by dymanics we mean relations between for dierent in best case knowing would determine all other special is to from given this value problem slightly more general form give some specic ask below well call marching forward specifying seeking corresponds backward wesill see that ordinary dierential equations can march either direc tion but partial often have ability only one direction not both little supplement supposed provide intuition if mathematical foundation situation are common way express example it takes single number specify which say r or any just know satises equation rf then determines through formula rt e holds ode extra condition get ae there several ways view process deriving may be familiar class multiply sides dt divide...