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- Q6: Solve for matrix X in the matrix equation X – A" = 21, where I is a unit matrix with size 2 × 2 and A =Solve the equation SP = S to find the stationary matrix S and the limiting matrix ¯¯¯P.Write the system of first-order linear differential equations represented by the matrix equation y′ = Ay. Then verify the general solution.
- Use Determinant Method for the given solution defined as y=C1cos3x+C2sin3x, solve for the corresponding Differential EquationThe matrix that projects onto the line y = -x is X 0.6 0.8 0.8 -0.6Consider the initial value problem: 3t æ+g(t), æ(1) = (). (-3 4t2 -3 -2t + a Suppose we know that æ(t) -3t + B) is the unique solution to this initial value problem. Find the constants a and B and the vector function g(t). α ) g(t)
- This is the first part of a three-part problem. Consider the system of differential equations y1 - 2y2, y1 + 4y2. Yi Y2 Rewrite the equations in vector form as '(t) = Ay(t). j'(t) = 身Find two linearly independent solutions of y''+2xy = 0 of the form in the imageFor the Attached Problem, use the method of variation of parameters (and perhaps a computer algebra system) to solve the initial value problem x’ = Ax + f(t), x(a) = xa . In each problem we provide the matrix exponential eAt as provided by a computer algebra system.