Chapter 4.3, Problem 4P

(a)

Program Plan Intro

Program Description: Purpose of the problem is to obtain the approximate values of $x\left(0.2\right)\text{ and }y\left(0.2\right)$ by Euler’s method.

(b)

Program Plan Intro

Program Description: Purpose of the problem is to find the approximate values of $x\left(0.2\right)\text{ and }y\left(0.2\right)$ by improved Euler’s method.

(c)

Program Plan Intro

Program Description: Purpose of the problem is to find the approximate values of $x\left(0.2\right)\text{ and }y\left(0.2\right)$ by Runge-Kutta method and also compare the result with all the obtained results.