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.
Differential Equation Initial Exact Condition Solution
To Calculate: Complete the table by using the exact solution of the differential equation, and the two approximations obtained using Euler’s method.
The values and along with the differential . The initial condition is with exact solution .
Euler’s method, and .
Exact solution of differential equation,
The first two values of the exact solution of differential equation are
Putting , we get that,
And now, putting , we get that
The table is
Now, let us consider the given differential equation,
So, by the use of ,,, and , we get,
, , ,, and .
The first three approximations are
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