solutionof Q5&amp;Q6&amp;Q7(MTH205)

# solutionof Q5&amp;Q6&amp;Q7(MTH205) - Quiz VI...

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Unformatted text preview: - Quiz VI Spring, 2010 Name: “*5 HM Secti0n# Q2. SOIVG the DE: {3})” +y' +y = x2 m 2x § 2 3/, f;@% [Wrsity 0f Sharjah Mrtment of Mathematics, and Statistics ' hﬁTPIZOS —Chﬁz VI Spring, 2010 Name: ID# Section# Q1. Solve the DE: 3y” + Zy' + y = 0 :5 w , _. ; MW%”§T¥E ; 5 “ éﬁ 2} a; 5 3% M WWWMWMwaJW é W, 5522 M w E M“ g; / I a) E; , fag“, % i:% ii: {3‘ ; {f§§;%} Wiggﬁg é“ i» g? #3 £5 5 Eiw MM? N EW‘ WMMM ‘ mum Q2. SOIVE the DE: y” + 2}” +32 : sin(x) + 3005(2x) é , (la/g Aimerican Univ grsity of Sharjah o a ematics, and Statistics MTFTZOS - Quiz V Spring, 2010 Name: “3;; Section# 5 Q1. Verify that y} = e4" and y; = a“ form a fundamental set of solutions of the DE y” — y' ~ 12y = 0 over the interval («00,00). Form the general solution ﬂea” » M 63“ ﬁg if; , w 132\$” 13*: "3’? {7 g: ,5“ {:2 r ‘ Cf g % 3g ’9 X I ‘5 ex f’Man gfyﬁﬁ%i i5§w%{fﬂ€xfe U/ip’le if? ‘3 Pt; W My; ég'xi Y X n, :9 W 9221? Ea g ‘W {:75 f7giéi‘ex j lit/{Q “a E a: Ewié’i’” w (042% gem w .z " ’/ [Ir/95 9‘5 i {If/i“? [En/Quit? 5/ [Ea/é; 52/ Q2. Find an interval centered about x = 0 for which the WP (x ~— 2))2" + 3y : x, y(0) = 0, ya» = 1 has a unique solution. “a {/Mf/ gQWMM/ w K 3‘ i Amerieian University of Sharjah DepartmggLoleathematics, and Statistics MTH 205 — Quiz V Spring, 2010 Name: ID# Section# Q1. Verify that y} 2 ex”2 and yz : xeX‘Z form a fundamental set of solutions of the DE 4y” ~ 4y’ +y = 0 over the interval (—oo,oo). Form the general solution mi: {N 5:;st Q2. Find an interval centered about x z 0 for which the IVP (x - 3);)” + 3y == x, y(0) : 0, y’(0) == 1 has a unique solution. mewwwwwwﬁwWNWWWMagma“WMWWWW ~A~~w-w~ww_ ff ln(x) is a solution of 4x2y" + y z 0. Find a second Q3. Given ymx) solution ygoc). A26 ﬁnigg; x, in gséiéiiisiiyééfinggéy gm Name: Secﬁon# A Universig 0f Shatjah Depart 7' ent of Mathemtics, and Statistics MTH 205 uiz VII ID# E g “z M»: if)! 2 2g W?in ’ 5’; W‘i I? Q2. Solve the DES xzy" +xy’ ——y : In(x) , Z 5;“ ,j A :75 3 ’f Y? I“? C} 5‘ mwix . ,L 595%”; “WNW”. MWMMMWMMWWWW 5 - Quiz v11 Spring, 2010 Name: -- : ‘ s, and Statistics ID# Secti0n# Q1. Solve the DE: y” +y z sec2(x) ‘ ' 5 Mfg"; W {'33 “W ‘M 2% é? a; 124,, a / , Vi} 3’? w; jg / P y I W 5 Wm E f: a ’3‘ {3?}?ng vi; ,2' I *‘iftﬁ i, M t f {if} ‘5’ W” _ s- ? éﬁﬁﬁ) f5 x if {Qi’ygﬁ} ‘1” v E E § :2}; é um»? SOIVE the x2732" +xy’ -y 2 1 x+1 '33 E 5 E A? 1:; > ’7 J h iv» f? g? A?” 245%}; A 5;? \$‘ f3»? ﬂ Q )g, A“ f»; X ﬁg 929% €45, W3; Ky; {X7515} E , ,. fgrii‘ W 92:; ,x: \$3 2:“ <ﬁgxré- ﬂ»? X ' Jaw) g»: .2: f 2% 3%} >2: {W (“x ...
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## This note was uploaded on 02/12/2012 for the course MTH 205 taught by Professor Sadik during the Spring '11 term at American Dubai.

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solutionof Q5&amp;Q6&amp;Q7(MTH205) - Quiz VI...

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