{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Mathematic Methods HW Solutions 58

# Mathematic Methods HW Solutions 58 - Chapter 13 2.1 T= 2.2...

This preview shows page 1. Sign up to view the full content.

Chapter 13 2.1 T = 20 π summationdisplay 1 ( - 1) n +1 n e - nπy/ 10 sin nπx 10 2.2 T = 200 π summationdisplay 1 odd n - 2 summationdisplay 2 n =2+4 k 1 n e - nπy/ 20 sin nπx 20 2.3 T = 4 π summationdisplay 2 even n n n 2 - 1 e - ny sin nx 2.4 T = 120 π 2 parenleftbigg e - πy/ 30 sin πx 30 - 1 9 e - 3 πy/ 30 sin 3 πx 30 + 1 25 e - 5 πy/ 30 sin 5 πx 30 · · · parenrightbigg 2.7 T = 4 π summationdisplay 2 even n n ( n 2 - 1) sinh n sinh n (1 - y ) sin nx 2.8 T = summationdisplay 1 b n sinh 4 3 sinh 30 (40 - y ) sin nπx 30 where b n = 200 parenleftBig 1 - cos 3 parenrightBig = 100 (1 , 3 , 4 , 3 , 1 , 0 , and repeat) 2.9 T = 200 π summationdisplay 1 odd n - 2 summationdisplay 2 n =2+4 k 1 n sinh 2 sinh 20 (10 - y ) sin nπx 20 2.10 T = summationdisplay 1 odd n 400 sinh sinh 10 (10 - y ) sin nπx 10 ; T (5 , 5) = 25 2.11 T = summationdisplay
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online