Consider the following dynamical system in discrete time: It+1 = 1₁- (1²) Yt+1 Y-(²-1) a) Find the stationary solutions. b) Verify if the stationary solutions are locally asymptotically stable.

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A: We have  dydx=e-yx2 Lets use variable separable method

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A: We find the integral by substitute method and using the simply formulas

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