Question: * The explicit one-dimensional Runge-Kutta 4-th order method, description, numerical implementation - 2 p. Examples integration: a) dx/dt=t on segment [0,1], x(0)=0; b) dx/dt=t2 on

* The explicit one-dimensional Runge-Kutta 4-th order method, description, numerical implementation - 2 p. Examples integration: a) dx/dt=t on segment [0,1], x(0)=0; b) dx/dt=t2 on segment [0,1], x(0)=0; c) dx/dt=t3 on segment [0,1], x(0)=0; d) dx/dt=sin(t) on the segment [0,], x(0)=0; e) dx/dt=cos(t) on the segment [0, ], x(0)=0; f) dx/dt=et on the interval [0,1], x(0)=1; g) dx/dt=1/t on the interval [1,e], x(1)=0. Calculation of the error at the right end of the interval (the exact analytic solution minus what the program calculated) for different integration steps h. And also realize the code in c/c++ programming.

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