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Problem 18

Combat Model. A simplified mathematical model for…

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Problem 17

Using the vectorized Runge-Kutta algorithm, approximate the solution to the initial value problem
$$\begin{array}{ll}{\frac{d u}{d x}=3 u-4 v ;} & {u(0)=1} \\ {\frac{d v}{d x}=2 u-3 v ;} & {v(0)=1}\end{array}$$
at $x=1$. Starting with $h=1$ continue halving the step size until two successive approximations of $u(1)$ and $v(1)$ differ by at most 0.001.

Answer

0.2719


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