% 4.1; first order system, brine cascade, spring-mass system, electrical network, Picard theorem
 % 5.1; matrix systems u'=F(u), u'=Au+g(t), superposition, vector-matrix Picard theorem
 % 4.2; Ziebur method (Example 4.2-1), Elimination method, Cayley-Hamilton theorem.
 % 4.3; RK4 numerical algorithm for systems.
 % 4.3 == 7.6 in EP 2250
\begin{alltt}
 HW 8, Due Week 9
 \BF{7.6}: 2, 5, 6, \bx{7}, \bx{8}, 11, \bx{12}, 18, 21, \bx{22} [impulses and Laplace]
 \BF{4.1}: 1, 3, 2, 5, 7, \bx{8}, 11, 12, 15, 17, \bx{20}, 21, 24, 26
 \BF{4.2}: 7, \bx{12}, 27; A Laplace or Cayley-Hamilton-Ziebur solution is acceptable.
 \BF{4.3}: 7, \bx{9}, 21;
 \end{alltt}
 See RK4 for systems
 \href{http://www.math.utah.edu/~gustafso/s2017/2280/numericalVectorMethods.pdf}{http://www.math.utah.edu/~gustafso/s2017/2280/numericalVectorMethods.pdf}
\\
For Exercise 4.3-9 and similar computer problems, see all files numerical-4.3* in the directory
\href{http://www.math.utah.edu/~gustafso/s2017/2280/maple/}{http://www.math.utah.edu/~gustafso/s2017/2280/maple/}