Calculate the Fourth Order Runge-Kutta method approximate solution of the differential equation y = sinh y...

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Calculate the Fourth Order Runge-Kutta method approximate solution of the differential equation y = sinh y and initial condition (a) yo 1/4 on the interval [0, 2], (b) yo = 2 on the interval [0, 1/4], using step size h = 0.1 x 2-k for 0<k< 5. Plot the k 0 and k 5 approximate solutions along with the exact solution, and make a log-log plot of the error at end of the interval as a function of h. Calculate the Fourth Order Runge-Kutta method approximate solution of the differential equation y = sinh y and initial condition (a) yo 1/4 on the interval [0, 2], (b) yo = 2 on the interval [0, 1/4], using step size h = 0.1 x 2-k for 0<k< 5. Plot the k 0 and k 5 approximate solutions along with the exact solution, and make a log-log plot of the error at end of the interval as a function of h.

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The formula for the 4th order Runge Kutta Method h W w s 2s 2s s Here S f tw h h h S S f t hw hs a y ... View the full answer