Write a matlab script to numerically solve any first order

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Reference no: EM132206051

Write a MATLAB script file to numerically solve any first order initial value problem using Rulers method. Once code is working use it to solve the mixing tank problem below. Use a step size of 1 minute, and simulate the solution until the tank contains no more salt. Plot both the Euler approximation and the exact solution on the same set of axes.

A tank contains 100 gallons of fresh water. At t=0 minutes, a solution containing 1 lb/gal of brine is pumped into the tank at a rate of 1 gal/min. while the mixture is pumped out at a rate of 2 gal/min. Model the corresponding initial value problem, and then determine the amount of salt in the tank as a function of time until the tank is empty.

Reference no: EM132206051

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