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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- x₁ = 5x₁ - 4x2 x₂ = 2x₁-x₂ 9.) Solve expansion. such that x₁ (0) = 1 and x₂ (0) = 2 by using the matrix exponential and Taylorsolve the system of non-homogeneous differential equations for the general solution using the matrix exponentialSolve for x and y in the matrix A=[x 3 2 y] if A^2 = [ 31 12 8 87] x = y =
- 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 problemFind the solution of the given system of differential equations by Operator method orLaplace transform.d/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 False
- Solve 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!(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)