Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 5, x₂ (0) = 5, and x3 (0) = 8.3[1-4-1-43tx' = 12 16 1 x; x₁ =e-2, X₂=2- 15 - 19- 12 - 12 3The particular solution is x₁ (t) =X₂ (t) =and x3 (t):=4tx3 = e0

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Answered: Find a particular solution of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7) Solve the system <-4 12 X subject to the initial condition x(0)=(1).
10.4 Solve the following system of equations using LU decompo- sition with partial pivoting: 2x, - 6x2 – x3 = -38 -3x - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -20
Match b and a system representation to its corresponding difference equation y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] 1. 2. 3. 4. 5. b = [-1.46 -3.53 3.93]; a = [1 2.86 4.1 0.65] b = [-1.46 -3.53 -3.93]; a = [1 -2.86 -4.1 -0.65] b = [-1.46 -3.53 3.93]; a = [1 -2.86 -4.1 -0.65] b = [1.46 3.53 -3.93]; a = [1 2.86 4.1 0.65] b = [1.46 3.53 -3.93]; a = [1 -2.86 -4.1 -0.65]
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Find a solution, (x,y), of the following system of two nonlinear equations for which both x and y are real and strictly positive. g(x,y) = 4*x^2 + 5*x*y - 2 = 0 %3D h(x,y) = 9*y^2 + 3*x*y - 3 = 0 Such a solution exists. Report ONLY the x value. You must report your answer so that |your answer - correct answer| < 0.0001 to receive full marks. Do not use scientific notation when reporting your solution.
3. Simple pulley system gives the equations X1 = T - g 2x2 = T – 2g X1 + x2 = 0 (a) Determine X1, X2 and T if g = 10 (b) Verify your solutions using Gaussian elimination
Find a particular solution of the indicated linear system that satisfies the initial conditions x, (0) = 3, X2 (0) = 4, and x3 (0) = 8. - 18 - 22 - 2 1 1 - 2t 2t x' = 2 x; X1 = e - 4 X2 = - 1 4t X3 = e - 1 16 20 - 16 - 16 2 4 1 ... The particular solution is x, (t) =, xX2(t) =, . and x3(t) =
Find the general solution of the given system. - (¹⁰ X(t) = X'= Need Help? 8-12, Read It

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Find a particular solution of the indicated linear system that satisfies the initial conditions x₁ (0) = 5, x₂ (0) = 5, and x3 (0) = 8. 3 [1-4-1-4 3t x' = 12 16 1 x; x₁ = e -2, X₂= 2 - 15 - 19 - 12 - 12 3 The particular solution is x₁ (t) = X₂ (t) = and x3 (t): = 4t x3 = e 0