Use Euler's method to approximate y(1.2), where y(x) is the solution of the initial-value problem
x2y'' − 2xy' + 2y = 0, y(1) = 9, y'(1) = 9,
where
x > 0.
Use
h = 0.1.
Find the analytic solution of the problem, and compare the actual value of y(1.2) with y2. (Round your answers to four decimal places.)
y(1.2) | ≈ | (Euler approximation) | |
y(1.2) | = | (exact value) |
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