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Problem 16

Using the vectorized Runge-Kutta algorithm for sy…

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Problem 15

Using the vectorized Runge-Kutta algorithm, approximate the solution to the initial value problem
$$y^{n}=t^{2}+y^{2} ; \quad y(0)=1, \quad y^{\prime}(0)=0$$
at $t=1$ 1. Starting with $h=1$, continue halving the step size until two successive approximations
[of both $y(1)$ and $y^{\prime}(1)$] differ by at most 0.01.

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