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HELP ME TO SOLVE THIS IN OCTAVE PROGRAMMING ***SHOW THE DERIVATION FOR YOUR FORWARD EULER METHOD*** ***SHOW THE OUTPUT AS WELL*** Numerical solution of initial

HELP ME TO SOLVE THIS IN OCTAVE PROGRAMMING

***SHOW THE DERIVATION FOR YOUR FORWARD EULER METHOD***

***SHOW THE OUTPUT AS WELL***

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Numerical solution of initial value problem for ordinary differential equation Consider the ODE y' = -200ty? For this assignment we are interested in applying Forward Euler to solve the above ODE. You will run the experiment either on Excel or MATLAB/Octave. You must write your own Forward Euler routine if you are using MATLAB/Octave. You will be considering 2 different initial conditions, y(0) = 1 and y(-3) = . In your report you shall complete 901 the following tasks: (a) Derive all necessary equations that you need for your MATLAB/Octave program or Excel spreadsheet. (b) In each case compute the solution until t = 1. Experiment with different step sizes and discuss how the step size affects the solution. Plot your solutions as aids for your discussion. (c) Explain the difference in behavior for the two different initial conditions. (d) Conclude this assignment by critically assessing the use of Forward based on insights and results you have obtained from this exercise

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