This question must be done using Maple software.

Use maple to solve the following problem.

Plot the accurate cyrvem approximation using Euler, approximation using improved Euler on the same graph.

1 Euler's Method and The Improved Euler Method Analyze the famous number e Hint: If we are given the initial value problem dy = y, y(0) 1, then e-y(1). Do h 0.1 and h = 0.02 respectively, output the accurate value, the approx- imate value, and the error for each step. (Use both Euler's Method and The Improved Euler Method)