Please help me with this problem and code this using python thank you.

Thus, we obtain Nu(t) N, (t + At) N (t) + At (7) which forms the basis for a numerical solution of our radioactive decay problem. Given that we know the value of N, at some value of t, we can use equation (7) to estimate its value at a time At late. Usually, we are given the initial value of the function, i.e., the value at time t = 0. Then apply equation (7) to estimate its value at t = At. The result can then be used in turn to estimate the value at t = 2At, 3At, etc., and thereby lead to an approximate solution at times nAt where n is an integer. This approach to calculate Nu(t) which is shown in equation (6) and (7) is known as Euler method and is a powerful, general algorithm for solving ordinary differential equations. 3 A Numerical Approach Consider how to translate that algorithm into a working computer program. Before writing any detailed code, construct an outline of how the problem is to be solved and what variables or parameters will be needed. For the decay problem, we have already laid the foundation for numerical solution shown in equation (7), which also contains all of the variables needed, i.e., Nu, t, T, and At. Our numerical approximation involves the values of N, only at time t = 0,t = At, t = 2At, etc, we will actually calculate N, at just these values of t. Using an array, we will store the values of Nu for later use. An array is a table of numbers. The first element in our array, or the first entry in the table, will contain N, at t = 0, the second element will be the value at t = At, and so on. We will apply equation (7) respectively to calculate the values of Nu(t). 3 Basic Tasks 1. declare necessary variables 2. initialize all variables and parameters 3. do the calculation 4. store the results Pseudocode(main) declare necessary variables and arrays initialize variables do the actual calculation store the results Declare two arrays that will be used to store N, and t. The rest of the work is done in these subroutines initialize, calculate, and store which are called in succession. The call statements also include the names of the variables that each routine needs to do its job. Pseudocode(subroutine initialize) prompt for and assign N (0), T, and At set initial value of time, t(0) set number of time steps for calculation Pseudocode(subroutine calculate) for each time step i (beginning with i = 1), calculate N - u and t at step i + 1; - Nu(ti+1 = Nu(ti) - (N_(t)/)dt - ti+1 = ti + At repeat for n - 1 time steps The final subroutine store writes the result to a file decay.dat. The values of t and Nu are written as pairs, with a separate line for each value of t. The results cant hen be read from this file, in order to plot the results, or use them in a subsequent calculation. The program decay should calculate how N, vary with time, and puts the results as number into a file. Understanding the results is best done by examining the results in graphical form. Graph Ny as a function of t. The ability to easily display results in graphical form is absolutely essential for work in computational physics. Note: A program isn't considered a working program until its output is correct. To verify the results of the program, answer the following: Does the output look reasonable? have an idea what the result should be - are the results consistent with your intention and instincts? Does your program agree with any exact results that are available? compare numerical values with exact results Always check that your program gives the same answer for different steps sizes. final answer should be independent of the values of the variable parameters Note: It is not reasonable to spend as much time checking and debugging a program as it takes writing it