Midterm1.pdf

# However the cats grow more skilled in their rat

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However, the cats grow more skilled in their rat-catching efforts as time goes on, and as such the number of rats they catch increases by 100 every month. The cats arrive at the beginning of the year; when there are 5000 rats on the island. Establish and solve an initial value problem to find the number of rats on the island after the cats arrive as a function of time f' "I r.\ S,?€. {,o+ S \d pt{ \ : u\ L- \.- w%'e cotis *\ =w? ; J# S*\$= p -\ Ce'oo ;\J (c, # f\ 6, .o L=-ti Y td .J af,p. arr* s = \$:COcl orf,lu'x:- \r F *l (c>l J 4: cl t- i (r\ S" J [+ (a€2t) tCoe-( \ , {t bY _f- -\-;r' , t\ s,, &'J"t- --((;ot J L +{ f I \ ^ r, ro ( I (_io.,n I-L.\J i .: CeYre._ ic<: - -\ (-J ' roJ l'-- I -{ {- d 6 = 4, __-^ - tL., €-- "l* '/t,- .cl *C) N] *i" (, '(c' { r fi " \ ( )(rcl-tJ e P la -s'

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D -k,\ \,r!' = ,"f ' t4 t-t .t J J['urr) €-r',oA f \c ( fCr( ( - )cso - [c 1t icrt i r- ^?,o l= u( Lt a Cg( ra = 20o& C= -/Soo d' (LCI1b -t\-e ,,r)
• Fall '08
• NAGY,KRISZTINA
• Constant of integration, Boundary value problem, Picard–Lindelöf theorem

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