1 Point Euler S Method For A First Order Ivp Y F X Y Y Xo Yo Is The The Following Algorithm From Zo Yo We De 1 (43.77 KiB) Viewed 13 times
1 Point Euler S Method For A First Order Ivp Y F X Y Y Xo Yo Is The The Following Algorithm From Zo Yo We De 2 (24.54 KiB) Viewed 13 times
(1 point) Euler's method for a first order IVP y = f(x, y), y(xo) yo is the the following algorithm. From (zo, 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(n-1, Yn-1). In this exercise we consider the IVP y'= sin(y) with y(-0.2) = -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:
Apply Euler's method to complete the following table: In the two rows enter the values of , and yn. For this exercise the explicit solution is extremely complicated and we will not consider the error. n = 0 In -0.2 Yn -1 1 2 3 4
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