、 。 、 Σ 人 HWI 0 1 y = .d 2 . e . π cos " " Sdy ( 8 Trxj = siu ( 8 π x } ydr 6 dx = = : Iny = y 3 ' x - x ( - 6 ) fx ex - , e u sin ( - . 0 + Sey , ( " s dx =( ” dx x = e ) ) π x x - -6 ) 5 e- x .☆ e C t 1 ( + 6 π y = - 6x + ( $ in : = 8πx ) e- - 5 * ( ec . + 37 x6 ) + ( 器幽 - 6 jo etx . - & ( 6 x+37 ) 0 = 或 e ( x+ . 3y ) + y i De = 6 - ox . dx + 3n 3 + c | y( ) o 4 gdy 如 = 司 dx = lee xinx = lox 1n + = ) ( 4 = lu2 s6 → → c dor 我 y - , = clux , y u ' dx = = C = 5 adu la 40 - = 1n [ ( ax ) les6 → atany =55 C = 1 ec 4 Y s . y ' = xi (1 ty " ) Hydy 1 x : 7 dx → 8 + c y =tan ( + c ) 一《 HW I . 2 , let da U : . ex 2 : casy e dx : ODE lee w - : . f Mok = u y o For ( y so . ex M . bet P C + N 2xsiny , : - zexsiny = exsiny 上" y ) 5 = k( y ) 0 , = C [ c = - C ] ) os ( π ) → C 1 = (☆ ) 了 dx wsinux t +kty ) = ' 0 - : asinux t t usinwx = F[ x F :Flx ) , estdx = ex { aos wx so dh lot ) 0 ) a excosy ] y cos" ( acos coswx = Loe . - : exdy t , - , 0 = ex N M : 0 zn , ex - exace nol : cosy - wx Oswx = tk ( - ) = Cos let M , siny . 0 = exacl y 2 - exsiny tk ' ( y = a 列 : u N YCo) 0 : , en cosy , The exsiny dy - = du : '( x ) = k t ex ( coswxt SIdy : = t R = 成 . ax = [ o ex - - ) - ix wsiuox ) odx cwsinux 3 K) - ( e Q , * as ux t dx yt exdxI t t dy : - . sinwx _ ex 司 ~ x wsinhx )dx tdy ( coswxt Kx ] osinwx ) sm 器些 ex O = EycosX da ☆ 0 dx ExusinX du t : 长 《 一 a , wsinwXw , ex . coswx - oswx ) - ( wcos . dx ex - artim 2 casox exdxI - . . - t caswx ⑨ osin ux ' . = foswx exdx . Saswx x e - coswx . - e ' dx ex , ≥ texdx . ( 屯 sinwx . extf sinwx . exdx ] - - . . : Soos wxex π ex ta [ swx ex sinwxet wxex ex sinwx - -asiawx ex = Ssinaxexox - dx z ω 8 - wcosuxex sintuxe 341 aswx * e - - tr , = y( ) o . ( y sin am : let R x - F = xos Wx) ) dx - x u : esidy : : - = C # sim ( y x ] - + x dy ) ) cos Jetsin )" ( y ) = - ) ) x ( = y - 0 x) 1 = eY ) ef sin ly - x tdx es( osly - ( y -x = ; x) = 5 4 N sin ( y ≈ , sin ( g - a eYcosly " + + = ) siniy xx ( lot du - 1 → - C = Fly ] = FlY ) y + ( cosly t - ; 1 = exos ( ω x ) ) cosly ] ω 9代入 5 = ( ,y x . 3 e - - - ω^+ i " ( 1 . : x σ )t )dx eY k ( . ( y ( y )= ) . t - 1 ] = e x C sinly - x )] dy . cos 8 E sinly - )- x - ) [y = - x) + = 12 ly ] eYcosty - x ) exs - 5 n( f - x ) +' ( y ) 4 Y ' p 9 y cot { t dot ( 3 = " S = ' ( x + 13 y + lol u ω= U p = - (1 2 - xy [x + 1 ) ^ ulx ) U = ; y n . U = ' ( Sar = 0 . . y( x i - 代五 = o y( ] , ' y = = * [ e + * ex = + - ex ( , C → 1 3 x )dx cos (3 x s = tC ) = s 5m 3 3x 3 - ( sim3 u x ] 4 + ( simx 3 ) = sjm 3 4 ' . s dor = i 4 . . ( sim 3x ] x + ( CSE 4 4 = ) 2 2 yy " 2 = Spdx 2 "+ 12 s 6 ☆+ x 630 ) = fzx + 2 dx y - = 2x t )ex . ( tC Cexixj . (x + 1 2 ex 2 - = ^ 2( x + 1 ) - u - 2 ex 2 = e ( 3x 1 . 3 ( , sin dx ] ( 3x ext dr = 0 ≈ 2 ox 125 ] = h e - ' - = ax , e - * c | ulsin 3 x β = j = y . (x+ 1 ) ex = csc " 3 , e 4 y ya - ≈+ 3 sin Ʃ 12 cos ( 3x ] = sim 3x f . 3 a = ) a - 2 - y = 9 = + × | ulsim 3x 1 . ehr 12 = sin sim 3 = ) .( ) (3 x 代入 5 = x 33 dx sjm . 3 ] 9 = , x] 3 . : y (x . eh csc , 3x fpdx = 3 xj 2 asBx ) [ cos ed - fpcos{ 3 = y (π ) y , 3 sin : ylx ) . 12 = h e 5 x) ] 3x e2 S . 2 五 x+ x ( 1 + C 5 : (x - xdx C - ☆ ] [ 20 , t 五 = ] ex = = 63 c ) ' + 2x - = Cetx = ) - 2 . 2x e x42x + e . ex " = x + Cextzx C 3x ] 3 HW 1 3 y . " ' t y " yssiay = t y osytk = y = . λ, 4 = λ , ( λ+ 4) ( N . 3 y " y. - - y y : i ' -6 Y ylo : - df- K - = . dx - Ca , siny - - = - - ky siay = ) N ex 4 exx - Netx - 16 e O = = xdx = = 2 : * y " - 16 # ylo ) , = 0 +6 " ( y' o . , 16 y π π+ , : = e x 以 ' 16 = y( , o ) = - 48 π exx = = λ ) 4 tbay ut i " i , ( C d siny 0 t' osy- k ) # . 可以 . x -V siny ex : AyX ( Cy t Ca- . y 0 = dy 2 = = x ee ∴ siny " ) Y 6π x ) exx _π : = : Ci ) : P+ ( y tC 2 - 48 = = 16 = 0 84 . eax π → → 16 8e - , -48 =C 6x # -6 π 2 λ π . = + Y : -6 8 π 6π = -6 π C .C → - 2 2 C . = 6 π ebπ x → ( = 8 dy xt - M 女 - X - cosy = - ky t - C M X - siuy - = osylk