Chapter 8.5, Problem 1P

(a)

To determine

The approximate values of the solution $x=\varphi \left(t\right),y=\psi \left(t\right)$ at $t=0.2,0.4,0.6,0.8\text{ and 1}\text{.0}$ by using the Euler method with $h=0.1$.

(b)

To determine

The approximate values of the solution $x=\varphi \left(t\right),y=\psi \left(t\right)$ at $t=0.2,0.4,0.6,0.8\text{ and 1}\text{.0}$ by using the Runga-Kutta method with $h=0.2$.

(c)

To determine

The approximate values of the solution $x=\varphi \left(t\right),y=\psi \left(t\right)$ at $t=0.2,0.4,0.6,0.8\text{ and 1}\text{.0}$ by using the Runga-Kutta method with $h=0.1$.