Solution Found!
Example 2 we approximated the transcendental number e by
Chapter 1, Problem 12E(choose chapter or problem)
Example 2 we approximated the transcendental number e by using Euler’s method to solve the initial value problem Show that the Euler approximation yn obtained by using the step size 1/n is given by the formula Recall from calculus that and hence Euler’s method converges (theoretically) to the correct value.
Questions & Answers
QUESTION:
Example 2 we approximated the transcendental number e by using Euler’s method to solve the initial value problem Show that the Euler approximation yn obtained by using the step size 1/n is given by the formula Recall from calculus that and hence Euler’s method converges (theoretically) to the correct value.
ANSWER:Solution Step 1 In this question we are given that and Let us assume the step size be According to Euler’s Method