### Numerical Integration and the Runge Kutta Method

a) For a fixed delta t(i+1)= delta t, the linear equation, x = Ax, x(t0)=x0 has the solution... Show that the Runge Kutta method (below) is 3rd order and not 4th order for the above linear equation. bi) Find the exact solution of x = -2x, x0 = 3 bii) Find the numerical solution for two simulation steps using explicit Euler a