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Please do it in matlab and provide the code. Thank you. The amount of bioluminescence plankton distributed along the south-east coast of New South Wales,
Please do it in matlab and provide the code. Thank you.
The amount of bioluminescence plankton distributed along the south-east coast of New South Wales, Australia, is given by the individu concentration c - plankton 13 colonies per litre of seawater (pd/L). Marks The concentration of plankton from a peak in spring decreases at a decay rate proportional to its concentration. In other words, it has a decay rate following dtdc=kc, where t is in days and k is a constant with units day 1. A) Assuming the peak concentration at t=0 is c0=112pc/L. Solve for the concentrations after 9 days (ie. when t=9 ) with k=0.44 day 1 and a step size of 1 for the four following methods, and write your answer accurate to 4 decimal places in the corresponding boxes, 1. Euler's method: 2. Heun's method: 3. Midpoint method: 4. MATLAB's ode45: Using the result you obtained for MATLAB's ode45 as the reference value, continue to halve the step size (i.e., divide by 2 ) and find the maximum value for each of the ODE methods above for the solution to be within 2% of this reference value. Provide the final plankton concentration and step size for each method in the boxes below, accurate to four decimal places. Also provide the number of the iterationsStep by Step Solution
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