{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

quiz 4(1)

# quiz 4(1) - 640-244 Quiz 4 NAME SECTION(1 Use Euler’s...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 640-244 Quiz 4 NAME: SECTION: (1) Use Euler’s method to ﬁnd an approximate value of y(0.2) with step size At = 0.1, where y(t) is the solution of the initial value problem d =/ —y=3+t—y yo dt {3:0 €,:o.l y(0) = 1- What is the order of the global error if we use Euler’s method? What is the order of the global error if we use the improved Euler’s method? What is the order of the global error if we use the Runge—Kutta method? 3,: f{+o,%,)4t +3. #2; ’C/‘v:g,)(°.l3 , 9’ Order. 075 glob“! 8,,” f(3+o«.)(o,,) * ’ g 5+on-l.1)(o.o+ L2 Ed” 4“ = 0.! ; ﬁx” a ("00 (0.1) +1.2 Errand Em" (150‘: o. 0/ ['2 = z: 0.19 ”'2. my e‘Kan, (40",: 0.0001, . 51,18 3&11). 2 qu (2) Determine the longest interval in which the initial value problem (a: — 2)y” + y’ + (x — 2)(tan x)y : 0 y(3) : 17 y’(3) = 2 is certain to have a unique solution. R91») fr‘i‘Q, Jll? 36%;,oy‘ 6L3 y” * (X'Z) ‘& I I- 6"“) 3‘0 , s ' funk ‘ . g '5 Undeﬁned or,“ /\'= -77/ rt 3 y‘ i 5 "‘1 2; l/Z) ”/2, ”IE, . +2 '5 “MP/meal m‘ ng Fossils: I"*"W ’5 i n.) (Wan/2), (fl/2,2), (2 37772)) {37% 9%) «H—eﬂ—it—N~ : . ' ’ ._ t, ' +° 3 5 ”‘ {'21 g1V2) , 30 We. hon/g ck umW¢ l" _ ll: l 31 SIT \ a ‘ , z /z "‘ “in; A S‘o/K’hon on (2, “Ir/2). ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern