Solve the system of Differential equations by the matrix method dx2 dx dt dx3 dt =-3x3 -=-X₁ + X₂ + X3; dt = -2x₂ + x₂ ;
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- Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give the solution of the problem and your inference on the problemSolve for x and y in the matrix A=[x 3 2 y] if A^2 = [ 31 12 8 87] x = y =x₁ = 5x₁ - 4x2 x₂ = 2x₁-x₂ 9.) Solve expansion. such that x₁ (0) = 1 and x₂ (0) = 2 by using the matrix exponential and Taylor
- solve the system of non-homogeneous differential equations for the general solution using the matrix exponentiald/dx(3x) = 3 Select one: O True O False d/dx[(x2 + 5x)/(x - 8)] = (x² - 16x + 40)/(x² - 16x +64) Select one: O True O False d/dx(ex + 8*) = e + 8* In 8 Select one: O True O FalseSolve for XX. [−4−2−43]X+[−6686]=[−29−6−3]X.[−4−4−23]X+[−6866]=[−2−69−3]X. X=X= ⎡⎣⎢⎢[⎤⎦⎥⎥ AX+B=CX With matrixes, solve for x Please show full full work! Thank you!
- Find the solution of the given system of differential equations by Operator method orLaplace transform.(4) Let {xn} be a sequence such that xn = 5xn-1+6xn-2, xı = -2, xo = 4. Use power of a suitable matrix to solve for xn.Transform the given equation into quadratic equation 1. [(24/10-c) + (24/10-c)] = 5 2. (1/x^2) + (1/x) + (1/2x) = (x^2 + 2)/(2x^2)