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Euler Method Approximation - Calculus - Solved Exam, Exams of Calculus

Institute of Mathematics and ApplicationsCalculus

Calculus is most common subject I know so far. This is one of past exam papers you can find in my uploads. Key points of the exam are: Euler Method Approximation, Initial Value Problem, Decimal Point, Step Size, Six Digits, Exact Value, Using, Power Series, Powers, Series

Typology: Exams

2012/2013

Uploaded on 03/16/2013

saroj
saroj 🇮🇳

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151 documents

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Math 106 A and B INITIALS. Final Exam, page 1. December 14, 2008 dy _e'+1 1A. Solve the initial value problem ¢ dt —3y?_. y(0) =2 the abffecentiol egyetion Yy = ete “a saperall ak we gee 2 es ot +¢ a A (wal o Vere +K) ir 9 o. eS t Odes eS = {4O07+€ a u ~a Soe a 1B. Find the Euler method approximation to y(0.2) using a step-size of At = 0.1. Show your work to siz digits after the decimal point. Cole meblod ots (newy = oly + ate f(olle, oly) ee fly ya ‘ < newt = oft 4 at aril tke 2 steps yet" 2-02? nea Dole + Out flout, 2.010) =2.016 + Ole Bosh. 12.2003... naw= 2 2+ ol + Flo,2) Sref = Beil ie = 2+01- oO Bilt: = 27,0166 Net = O +0! =0.1 ster I = lo + 0. O1R 254. 2.033921 hewt = Gl +01 = Ob Phas is J fhe Ever meted Agpaximelas O02) g 2.03392] 1C. Again to six digits after the decimal point, what is the exact value of y(0.2) as found using the answer to 1A? y(02) = (ots OLe Ph = 1A 2... =