▁will ▁reduce ▁the ▁number ▁of ▁constants ▁and ▁the ▁general ▁solution ▁to ▁Lap lace ' s ▁equation ▁may ▁be ▁written : ▁ ▁App lications ▁ ▁The ▁classic ▁applications ▁of ▁par abol ic ▁cyl ind rical ▁coordinates ▁are ▁in ▁solving ▁partial ▁differential ▁equations , ▁e . g ., ▁Lap lace ' s ▁equation ▁or ▁the ▁Hel m hol tz ▁equation , ▁for ▁which ▁such ▁coordinates ▁allow ▁a ▁separation ▁of ▁variables . ▁ ▁A ▁typical ▁example ▁would ▁be ▁the ▁electric ▁field ▁surrounding ▁a ▁flat ▁semi - in finite ▁conduct ing ▁plate . ▁ ▁See ▁also ▁▁▁ ▁Par abol ic ▁coordinates ▁ ▁Orth ogonal ▁coordinate ▁system ▁ ▁Cur vil ine ar ▁coordinates ▁ ▁Bibli ography ▁▁▁▁▁▁ ▁Same ▁as ▁Mor se ▁& ▁F esh bach ▁( 1 9 5 3 ), ▁subst itut ing ▁uk ▁for ▁ ξ k . ▁ ▁External ▁links ▁Math World ▁description ▁of ▁par abol ic ▁cyl ind rical ▁coordinates ▁ ▁Category : Three - dimensional ▁coordinate ▁systems ▁Category : Or th ogonal ▁coordinate ▁systems <0x0A> </s> ▁The ▁R MS ▁T itan ic ▁has ▁been ▁featured ▁in ▁numerous ▁films , ▁TV ▁mov ies ▁and ▁notable ▁TV ▁episodes . ▁This ▁list ▁includes ▁the ▁ 1 9 9 7 ▁film ▁T itan ic ▁which ▁is ▁one ▁of ▁the ▁highest - g ross ing ▁films . ▁On ▁television , ▁the ▁T itan ic ▁has ▁been ▁featured ▁in ▁gen res ▁r anging ▁from ▁ep ic ▁dram as ▁to ▁short ▁cart oon ▁par od ies . ▁ ▁The atr ically ▁released ▁cinema ▁dram as ▁and ▁document aries ▁ ▁Television