Question
Asked Jun 11, 2019
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Use five iterations, y6, of Euler's method to obtain an approximation of the indicated value with h=0.1. Calculate the absolute error by comparing the approximate solution with the actual solution of the initial value problem at the indicated value.

y'=2xy, y(1)=1, Y(1.5)

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Expert Answer

Step 1

Consider the provided intitial value problem.

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y 2xy y11 y(1.5

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Step 2

According to euler’s method:

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Yn1= f (x,y

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Step 3

Now substitute h = 0.1  x1 = 1, y1 = 1 in euler&r...

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У, %3D у +h-f(x, ) У, %3D1+ (0.1)-f(1,1) =1+(0.1) (2) 1.2 That is yy1.1) 1.2

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Math

Advanced Math