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Write a C++ code to solve the following initial value problem ordinary differential equation using Euler method over the interval [0 10] with 10-4 time
Write a C++ code to solve the following initial value problem ordinary differential equation using Euler method over the interval [0 10] with 10-4 time steps. Please make plots using excel or MATLAB for the output (y vs time) A) y= y y2 ; y(0)=1 If that exact solution was y(t) = 1/(1 + 2et ). What is the absolute error at y(10). (5 points) B) The following two equations represent the toggle switch genetic network. (5 points) du/dt = 1/(1 + v ) u dv/dt = 2/(1 + u ) v where; u(0) = 0; v(0) = 0;1 = 2, 2 = 4, = 2, = 2 1= 2, 2= 4, = 2, = 2
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