Mathematics
Mathematics, 13.09.2019 17:30, Mypasswordishotdog11

Given a non-linear system: y=x^3 - 3x^2 - 1 a) find the linear approximation of the system at the point (1, -3) b) plot the system and its linear approximation on a same plot using matlab. make sure your plot is clear and having labeling

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Mathematics, 08.09.2019 00:20, michaylabucknep7u3y2
Consider the non-linear system of odes given by yí = fı (y1, y2) = yỉ + 3y172, y = f2 (y1, y2) = 2yı + yż. find all of the critical points of the system, calculate the linearized system about each of the critical points found and classify the type of critical point in each of the linearized systems. plot a phase portrait for the non-linear system by hand. (15 marks)
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Mathematics, 09.11.2019 00:31, janellball16
In this question, f : r -r is a differentiable function. we will use linear ra try to find a good linear approximation to f near a point x=a. our linear approximation will be of the form y = c+ma. use the values of f at the point x = a and the nearby point x = a + h to find a good approximation. (you will need to set up a linear system involving c, m, a, h, f(a), f(a + h), where c and m are the variables. you should also be able to solve this linear system exactly for the vector c m .)
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Mathematics, 12.11.2019 22:31, aedmund1225
)(3 points) use the values of f at the point x = a and the nearby point x = a + h to find a good approximation. (you will need to set up a linear system involving c, m, a, h, f(a), f(a + h), where c and m are the variables. you should also be able to solve this linear system exactly for the vector c m .)
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