Let x(t) =x{(t)x₂ (1)==If x(0) =x₁ (1)[x2 (1)X₁ (t) = 4exp(t-4[1]-4Put the eigenvalues in ascending order when youenter x₁(1), x₂(1) below.exp(-25 t) + 10tt)x₂ (1) =exp(t t)be a solution to the system of differential equations:+-25 x₁(1)-60 x₁(t) +, find x(t).10 x₂(1)25 x₂(1)exp(-601) + 25

Sol:- First write the given system of equation in Matrix Form :- x' =-2510-6025x, x0=-4-4Solve…

Answered: Let x(1) = x{ (1) = x₂2 (1) = If x(0) =…

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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Linear algebra: please correctly and handwritten
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Suppose the eigenvalues associated with a 2 by 2 matrix of a system of linear ODE's are complex conjugates. (a) Use Euler's formula to rewrite the solution in the form x(t) = u(t) + iv(t). (b) Show that x(t) = u(t) + v(t) is also a solution of the system.
Xn Let vn be the solution to the discrete dynamical system: Yn 6xn – 13yn Oxn – 7yn Xn+1 Yn+1 [:] -3 If vo find vn- -1 Put the eigenvalues in ascending order when you enter xn, Yn below. Xn = Yn = )"+ )" ||
please send complete handwritten solution Q2

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