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  3. use euler's method with each of the following step

Use Euler's method with each of the following step sizes to estimate the value of y(0.8),...

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Basic Math

Use Euler's method with each of the following step sizes toestimate the value of y(0.8), where y is thesolution of the initial-value problem: y' = y,y(0) = 5.

(i)    h = 0.8

y(0.8) = 9

(ii) h = 0.4

y(0.8) = 9.8

(iii)    

h = 0.2

y(0.8) = ?

The error in Euler's method is the difference between the exactvalue and the approximate value. Find the errors made in part (a)in using Euler's method to estimate the true value ofy(0.8), namely 5e0.8.

(Round your answers to four decimal places.)

h = 0.8

error = (exact value) ? (approximate value) = 2.1277

h = 0.4

error = (exact value) ? (approximate value) = 1.3277

h = 0.2

error = (exact value) ? (approximate value) =?

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