Sect1.3 - sac—non 1.x? 'ba‘fiermme +10%, Ora/OP;...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: sac—non 1.x? 'ba‘fiermme +10%, Ora/OP; E+OI+€ Colle‘Mer‘ Imam“ or“ nowhrieqn ’1 ‘, G) éQeZLI—givLé §j€+ag lS/fié 3m $I5CQ A1§A€8é Ore/9F C/Q/‘W‘CIAVQ mfle 3M orOfér .‘ deruvorfiwe A _ " , . ‘l 0/ ll /ine01f‘-' ‘BihC—‘P— 8300: V7 rs hear In {fly Om fl 1 2 @ (“7131—23 %T%=e£ and CUM/fr‘f Sibce 17/369534 Ore/9n dmwé‘lfifie P074342, ago/e/‘IVQAVQ ’L Noni/bequ c/qe 11> +842. 1 d 9‘ fern). 51 2TH . 3 _ - Ce) iii—"E3 j— ab 3%? 7‘ Ceasq‘ebgfi £3 3,21 OPOJOI‘L 8/802. Afié-eavt ore/9r o/enyqfire 071%?3 dent/mare Lmeqr! Since Me. 8.3qu14 r5 In? ecm M I 1/ 37,? onwlg_ 1L3pii . Ala-(*9: Livery ya on —+”h‘$ ighoolol fag C, vefl‘fij M 4“ Sliders wms subs-.51 ‘Hne da‘eeercwk‘a‘ . (K3: Cosh x. 8‘00 = ex ' ‘5', x . L $00 = sink 1 '( =e ' 3' ‘0 (K) =- (’0st ‘5”qu = ‘ V V $0 at - 15, = cushy—coénx =0. \/ 3.00 = 75’" Suhshfldc "do was. I ~ . 3“)" “25$ “‘37 *3x3.’ "3. . - ~3/ - - - ’I 3: m" Eli?!- L - 2x1 151%) + 31(‘ixz’> * 7Lz _ '/ v I .. : 3216‘ 4 éxIL—x" = ""("bézi '0 ‘0/ $0 - 4 3200' X swam wk M5,: 3.00" ’74 2x23; + 3ng ~13; 75:0” 21: ‘ " 21.12?) + 34-35% — 1." 416531;" MC.“ i'U' 3"» “1/ 0 [LB v.2 Dekrmu'ae ~{he Values 0? r gar «duck we given di%ren‘t€al' «beachon has southo'ns 04 W ~?orm \5: e” {302 100. 3"! _ 33'! 4. =0 , +1164 moxie/oqucfefi W anW5/% 59/?) X J Aswme w 35th has w Qorm 3: e". \ rs n":- "Pi/7Q Th I a I en 15 = re \ _ 301: r26”! 3’” = ‘r3ef7‘ . Subku \Hnese udo 115.: m n ‘ ~ 3 ' 33 +33’ = r38.”- 3«r’e”‘+ Zref" ‘ 8”‘(r"3r‘ +33. _ we want-.Wseqxt’sscm 1o sebum] Eat-o. Smcz e” *0, gar amid Value qu‘ ’mus'l: \navc- 3 Y‘ '3r‘+ g. or Zr 0, r( P"— 3r 4. Z) =— O . This ts Ame i-V r=o or cl? (r‘-3r+z\=o. USmS’Wke (buadrceHc gonnula +3 Quad We Foo“ 0'? (cc-“9+3 3.393 f‘: w: Z A = ‘,Z. wu— f“ So r: .0, Lara €5st sow—ms 0; We 90m» We”; Thod- vs g‘éxvi' “,(xv 6“ § 3300 = a“ (1.2 M) . I NC South's. 'De’Crmmc W valWS a? r {or W3» W fiwln dCQerenta.‘ abme has 80W:th 09% 30mm 1351." #9:- 10'0. +11% indepemderfé an‘cible X 0 1"“; m") Aces/c) @ 753" ’ 913' + ‘43 :0 Assume M sdpchm has‘Hne 3mm xi: 1‘; Then » 13' = rug-'4 ‘3 =‘ r‘Lr-hf'z'. gumtuluk W (n+0 ' 11E. ‘. 1‘5" "113' +ng = I‘UU’FW’“) 5 Hadrva HHfl = 'rH-h 1f " Llr-xr rl‘xr = 16(V‘U-‘3 “qr “h = {( r"~r -‘~\r+\{\ «n 1% r"~8‘r “A. we‘ W W3 WPPPSSCw +0 efiual'aero. sm we (mama +0 we mskuchéns ~°nr Ws ProbM a X. #0 -?or MS vdlueofir. $0 wemust kmq-ha’c “I” 9“ “I =0. “W W WWW Mada, r~= '5 thy-4mm)“ Si 3 Z 1 =1, . L 11:. 30 r: ‘.~q 6U”: Sold:th (6 “he £00m 13:1?- W rs, Lg‘m: 1L and 3,00 = 1" we solwhons. I . r Section 1.3, Problem 26 Problem. Verifythat the given function or functions is a solution of the given partial differential equation. 2 . __ 2 2 . u1 = e‘“ tszn(m), uz = e a ’\ tsmOa), for A a real constant. Solution. The first partial derivative of U1 = e‘aztsin(x) with respect to ac is —a2t e‘o‘ztcoscc), and the second partial derivative of ul with respect to a: is —e The first partial derivative of U1 with respect to t is ~oz2e“°‘2t. So 052011)” = (u1)t. The first partial derivative of U2 = e‘“2’\2tsin()\x) With respect to an is equal to /\e‘°’2’\2tcos()\x). The second derivative With respect to a: is —)\2e‘°‘2’\2tsz'n()\x). The first partial derivative of U2 with respect to t is = —a2)\2€‘“2’\2’sin()\x). So a2'(uz)m = (U2)t- 11.39.; ...
View Full Document

This homework help was uploaded on 04/09/2008 for the course MATH 2400 taught by Professor Yoon during the Spring '04 term at Rensselaer Polytechnic Institute.

Page1 / 5

Sect1.3 - sac—non 1.x? 'ba‘fiermme +10%, Ora/OP;...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online