{VERSION 2 3 "APPLE_PPC_MAC" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 256 "" 0 "" {TEXT -1 25 "Exercises for Section 2.2" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 192 "This sec tion is concerned with computing the adjoint of a differential operato r with boundary conditions. It has not introduced how to find the Gree n's function, but gives an example to check." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "Exercise 6" }}{PARA 0 "" 0 "" {TEXT -1 2 "#6" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "G:=(x,t)-> Heaviside(x-t)*(exp(t-x)-exp(2*(t-x)));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "assume(x<1);int(G(x,t)*f(t),t=0..1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "u:=unapply(\",x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "u(0); D(u)(0);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "diff(u(x),x,x)+3*diff(u(x),x)+2*u(x);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(\");" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0" 22 }{VIEWOPTS 1 1 0 1 1 1803 }