spring 2019 math 2410 exam 1 review - wordpress.com

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Homogeneous Equations Homogeneous Mckay dux Macy Joly o s MC trotyl Ed Mckay NCtu Egl tower.gl Substitution y un or a v y h Ster y t y a da n'd y o Gestfoe homogeneity Max g i y't ng Mc trotyl t y t ya C Eye my t'm say µ Crecy od s Ncte Ey tie tic n l t Ncn yl Substitution y un or a Vy dy i ud se t se du 4 yn du Edy o e Wn t un2 du si ud se t se du o E 3 It 4 doe nd n nd u E when nd u s t d n tua du es la n Lu t C e h n Es ee Cu In 1 Note If I ask for a solution inn Ftc is fine However if I ask for an explicit solution you must solve fry lan F te I Ey the C y c thx Linear Equations Standard fan date pony for Integrating factor µ deeman Solution y tuSaf dat en 2 Solve 2 y y t e Standard fan y hey Ee Poe I fan teen Integrating factor µ es peeve Se Ide e E Solution g ta Saf dat Ea EE S e E e l da t ee F E e E t e e Bernoulli Equation Standard fan data Panty fari y a on Substitution y u n data In ut i date

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Page 1: Spring 2019 Math 2410 Exam 1 Review - WordPress.com

HomogeneousEquations

Homogeneous MckayduxMacyJoly o sMCtrotyl EdMckay NCtuEgl tower.glSubstitution y un or a vyhSter

y t y ada n'dy o

Gestfoehomogeneity Maxg i y'tng Mctrotyl t y tya CEyemy t'msayµCrecy od sNcteEy tie tic n l t NcnylSubstitution y un or a Vy dyi udsetsedu

4yn du Edy o e Wn tun2du si udsetsedu oE 3 It 4 doe ndn nduE when ndus tdn tuadu

es la n Lut Ce h n Esee Cu In1

Note If I askfor a solution inn Ftc is fine However if I askfor an explicitsolution youmustsolvefrylan F te I Ey theC

y c thx

LinearEquationsStandardfan date ponyforIntegratingfactor µ deemanSolution y tuSafdaten2 Solve 2y y t e

Standardfan y hey Ee Poe I fan teenIntegratingfactor

µ espeeve Se Ide e E

Solution g taSafdatEaEESe E e lda t ee FEe Et e e

BernoulliEquation

Standardfan dataPanty fariy a onSubstitution y u n

data Inut idate

Page 2: Spring 2019 Math 2410 Exam 1 Review - WordPress.com

3Soler seEk t y ftStandardfurs date In TeyZ n 2Substitution g u u's

dad tu data

Hant I y s s a date ULI tu u 25s day s Fe In

SolvebrieenEquation date I Z

µ et d ek se3

hthferfda tEa 3 f a 3 Idnt 3Is SnY dn t hisIt 4 3

i y u it E 3