Euler's Method In Exercises 13 and 14, use Euler’s Method to make a table of values for the approximate solution of the differential equation with the specified initial value. Use n steps of size h.
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Euler's Method In Exercises 79-81, complete the table using the exact solution of the differential equation and two approximations obtained using Euler’s Method to approximate the particular solution of the differential equation. Use and , and compute each approximation to four decimal places.
x
0
0.2
0.4
0.6
0.8
1
y(x)
(exact)
y ( x ) ( h = 0.2 )
y ( x ) ( h = 0.1 )
Differential Equation Initial Condition Solution
y(x) (exact)
Differential Equation Initial Condition Exact Solution
y(x) (h = 0.2)
y(x) (h = 0.1)
Differential Equation Initial Exact Condition Solution
