Euler S Method For A First Order Ivp Y F X Y Y X Yo Is The The Following Algorithm From Xo Yo We Define A Se 1 (46.44 KiB) Viewed 58 times
Euler S Method For A First Order Ivp Y F X Y Y X Yo Is The The Following Algorithm From Xo Yo We Define A Se 2 (10.39 KiB) Viewed 58 times
Euler's method for a first order IVP y = f(x, y), y(x) = yo is the the following algorithm. From (xo, Yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have Xn = Xn-1 + h, yn Yn-1 +h. f(xn-1. Yn-1). In this exercise we consider the IVP y = sin(y) with y(-0.3) = -1. Use Euler's method with h = 0.2 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 x, and yn- For this exercise the explicit solution is extremely complicated and we will not consider the error.
n=0 Xn -0.3 Уп -1 1 2 3 4
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!