12. Assume a € (-1,1). Investigate the equilibrium solutions of the following difference equations. (a) n+1 = a sinxn, n = 0, 1,... (b) n+1 = a cos xn, n = 0, 1,...

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Q: Explicitly solve the separable initial value problem. You may assume t > 0). 22 with y(e²)=3 t

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A: Solution :- In the context of differential equations, an equilibrium point (also known as a critical…

Q: 5) Using Ex 9.5 from Lecture Notes determine which of the following functions are entire. Justify…

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Q: 1. Use the Gauss-Jordan method to find the inverse matrix of A = E 1 -1 1 0 -6 2 0 1 3

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Q: hello, can you explain how it is symmetric in more detail?

A: The given relation is symmetric. The explanation is provided below.

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A: Solution:

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Q: 15. F(x, y, z) = xye¹i — xªyze¹j + xy²e³k

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Q: b) Find all the analytic functions for which Rez = Im f(z)

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Q: x f = f(x) 0 5.5 5 4.7 10 1.3 15 −3.7 20 −7.9 Calculate the average rate of change from  x = 0  to…

A: Average rate of change=(f(b)-f(a))/(b-a)

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Q: 4. A model for the weight of a lizard is described by the differential equation dW 1 -=(80-W) where…

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