MATHS 2106 Lecture Notes - Lecture 7: Horse Length, Partial Fraction Decomposition

• School: University of Adelaide
• Department: MATHS - Maths & Computer Science
• Course: MATHS 2106
• Professor: Benjamin Binder

Document Summary

: mo t i v a t i n e g t ra n s f o r m s e a m p l e linear ivp ( int - space) Transformation d equation in s - space a solution is s - space. Transformation a solution to ivp in t - space. 6 3 : - fcs> =l /fail - Using induction : at n=o :l (1) = 11s, at n -11 : lltn " )= in -111 ! L (th " )= [e-sttntldt using integration by parts : u=t. = my ice )=n -1 - in !,=y ! 2 :-[ i s t e n e e u n i q u e n e s s an d l. , then times /b stfctldt exists for all s > 8 (cid:15482) lt exists for s > 0 e n e s s if f- (t) and get) are cont .