Consider the following initial value problem:

(i) Use Euler's method with two equal steps to find an approximation of y(1). Enter the exact answer, not an approximation.
(ii) Solve the initial value problem and compute the solution at x = 1. Enter the exact answer, not an approximation.
(iii) What is the error in Euler's method in making this approximation?

Question

Consider the following initial value problem:
  
(i) Use Euler's method with two equal steps to find an approximation of y(1). Enter the exact answer, not an approximation.
(ii) Solve the initial value problem and compute the solution at x = 1. Enter the exact answer, not an approximation.
(iii) What is the error in Euler's method in making this approximation?

Quizplus · Accepted Answer

The Answer of Consider the following initial value problem:
  
(i) Use Euler's method with two equal steps to find an approximation of y(1). Enter the exact answer, not an approximation.
(ii) Solve the initial value problem and compute the solution at x = 1. Enter the exact answer, not an approximation.
(iii) What is the error in Euler's method in making this approximation?

Consider the Following Initial Value Problem