Find the equilibrium value for the dynamical system below. Comment on whether the value you find is stable or unstable. An +1 = 4A, -8 What is the equilibrium value? a = (Type an integer or a simplified fraction.)

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Q: Ŷ= 0.15X + 1.2 In the equation above, the predictor variable X is GRE score, and the predicted…

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Q: = (a - y)(y +x) = F dy %3D = (b + 2x)(x + y) = G dt dx %3D dt Find all the steady state solutions…

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Q: Solve the given linear system. -2 = (-²5)× X -2 4 X(t) = X' X

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Q: Ŷ= 0.15X  + 1.2 In the equation above, the predictor variable X is GRE score, and the predicted…

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Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.