Let f(x, y) = x/y. We let x = 0.1 and yo = 3 and pick a step size…

Let f(x, y) = x/y. We let x = 0.1 and yo = 3 and pick a step size…

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Let f(x, y) = x/y. We let x = 0.1 and yo = 3 and pick a step size…
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Let f(x, y) = x¹/y.
We let x = 0.1 and yo = 3 and pick a step size h = 0.2. Euler’s method is the the following algorithm. From in and yn, our approximations to the solution of the differential equation at th
next stage by computing
Xn+1 = xn+h,
Complete the following table. Your answers should be accurate to at least seven decimal places.
Yn
3
n
0
1
2
3
4
In
0.1
The exact solution can also be found using separation of variables. It is
y(x) =
=
Thus the actual value of the function at the point x = 1.1
y(1.1)
Yn+1 = Yn+h. f(xn, Yn).

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