Question

Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise we consider the IVP y' = sin(y) with y(-0.5) = 1. Use Euler's method with h = 0.1 to approximate the solution of the differential equation. - Apply Euler's method to complete the following table: In the two rows enter the values of xn and Yn. For this exercise the explicit solution is extremely complicated and we will not consider the error. 1 2 n= 0 xn -0.5

Please help me do both problems if you can, this is due tonight and this is my last question for this subscription period. (Thank you)

Answer 1

sorry my dear we don't have that much time here

We have fixed time here

Also HOMEWORKLIB RULES says do one question at a time

...so post separately that one

You will get solution of that also

Or simply follow the steps of this solution you will the same for 2nd in the same way