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Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem y''...

Use Euler's method to approximate y(0.2), where y(x) is the solution of the initial-value problem

y'' − 4y' + 4y = 0,  y(0) = −3,  y'(0) = 1.

Use

h = 0.1.

Find the analytic solution of the problem, and compare the actual value of y(0.2) with y2. (Round your answers to four decimal places.)

y(0.2) ≈     (Euler approximation)
y(0.2) = -2.3869 (exact value)

I'm looking for the Euler approximation number, thanks.

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Answer #1

here is the Euler's approximation.

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