hw1_5_ans - Homework Assignment 4 Math 2171 Differential...

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Unformatted text preview: Homework Assignment 4 Math 2171 - Differential Equations Sections 002 & 007, Spring 2008 Name: Due: Monday, 02/11/2008 1‘ (P47 Page 54) Find an explicit general solution of the differential equation: y; _ 2mg 2 exzi wwwwwwwwwwwwwwww MM - 7; W224 , UK) :3: fix“ Q/WWW”M ‘ I?” ' r a I N lam“): Qfizyflfi m 6,2»: 1Q5+C>€ M w ” q ” ~XL} / «"2 ‘ $694 ‘ w} WWWW W M WM (5; 6 /‘I T: if}? 3;: 4; MW , g“ , a l 3. (P9, pg” e 54) Find an explicit barticular solution 0 the initial value problem: my’ — y 2 36, 9(1) 2: 7. 4. (P13, page 54) Find an explicit particular solution of the initial value problem: 3/ + y :2 ex, y(0) = 1. m J; “l. 141:1) « [F WW kw Q,/ / 5. (P37, page 54) A 400—gal tank initially contains 100 gal of brine 9W ' . , H “ ' of salt per gallon enters the tank at the rate of 5 gal/s, and the well-mixed brine in the tank flows out at the rate of 3 gal/s. How much salt will the tank contain when it is full of brine? % / i ’ . l . . l p air ' m g , ‘ htfaltm/WZ tng ‘il‘mmla not HEM é“ ( { gm 4212-?) W S l 3:513 lelT) \i “I: vl‘nlllt“ _ l kw, ' y S v l , 33?)? v - k . » 4W g; may ms» 2:”) X (It) at «léém :25: l W W"? :2 as l: (lb/Ra m of ‘X *§t§M litm' g ' 59/; “F We?" , 2' i; m, 2:; m. mztwif R; 2a.: mgglnt 3;; 1 At, g V I j i fix?“ :1 ,l {axl— é’ijw % l. 2% 4,” N ‘5? «l l T" “”" I, I" 5 '4: I L K N ‘ i “l’ >6: {Q M > i B a WV {El/l)? I \ taro g _ WQLX "2; g as EWK 4’... W” Manny" l y SW?) V a ,. '3‘ 2 V t, ~ 1 , r“ T, A I “f. . l ::L ‘5» E} l QW$Z§K> a” W I i If t , V” fifmz kl’wmlfim E23 figufivt W Mm V " I Vélii‘l :: iglano mg) "1&3 "lg/l?“ 3’ Ll‘ifi W 1:: l5“; , g} \ I , l 9%?! l x , l. W9) M wwwth fig \ r ,_ Efimfittttmfi} «xifwl ‘1; "Pl ‘9 « Gas is Kim); 6‘" \V i’ "1:, "“ , N MW“ , _ V :~~«~«:u a; Um mm \ VLU‘W 6:; Cl??? {3% ,A mm “A”, “wgmmw wmmnmn. WM 3 ...
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hw1_5_ans - Homework Assignment 4 Math 2171 Differential...

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