The time-change of a radioactive material amount u describes by the following ODE: , where ttime…

The time-change of a radioactive material amount u describes by the following ODE: , where ttime and k is a constant representing radioactive properties of the material. Solve this equation with the ODE solver with the times t =0, 2, 4, , 20day and with the k =0.135day -1 and the initial material amount u0=500g.Write for this a user-defined function with name Problem_6_11 that has starting t s , final t f and step dt times and initial u0 values as the input parameters and resulting matrix t_u with t and u columns as output parameter. Use the simplest possible form for presentation of the

The time-change of a radioactive material amount u describes by the following ODE: , where ttime and k is a constant representing radioactive properties of the material. Solve this equation with the ODE solver with the times t =0, 2, 4, , 20day and with the k =0.135day -1 and the initial material amount u0=500g.Write for this a user-defined function with name Problem_6_11 that has starting t s , final t f and step dt times and initial u0 values as the input parameters and resulting matrix t_u with t and u columns as output parameter. Use the simplest possible form for presentation of the solving ODE in the ODE command. The function should represent the u(t) plot with grid, axes labels and a caption.

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