If you look at the attached picture, I already performed all of the work and determined that x_1 and x_2 converge to 0, all I need help with is describing the results and whether or not they make sense given the problem and it's context. Is this is something you can help me with? Thank you! Consider the system of differential equations x₁ = 5x₁ + x₂and x₂ = 4x₁2x2. Use MATLAB to plot the eigenvectors and directionfield of this system on a single plot. Make sure to label both axes and titleyour figure. Generate your plots for -1 ≤ x ≤ 1 and -1 ≤ x₂ ≤ 1 and setboth X₁ and ₂ axes to limits of [-1 1].0.80.60.40.20-0.2-0.4-0.6-0.8-1-10.80.60.40.20Consider the same system of differential equationsUse MATLAB to plot the phase portrait of this system of differentialequations. Make sure to label both axes and title your figure. Use the samex1-axis and x2-axis limits-02-0.4-0.6-0.8Problem 1 - Eigenvectorsand direction field-1-0.5-0.50X1Problem 2-Phase Portrait.0.50.5Analyze the phase portrait from Problem 2 for the initialconditions of x₁(0) = 0.5 and x₂(0) = 0.3. As t→ ∞o to what values dox₁(1) and x₂(1) converge to?To find the steady state, we set the derivatives in the system of equations to zero and solve for x1and x2. This gives us the equations -5x1 + x2 = 0 and 4x1 - 2x2 = 0. Solving these equations givesx1 = 0 and x2 = 0.

For the given differential equation, theThe eigen vector, direction field and phase portrait is…

If you look at the attached picture, I already performed all of the work and determined that x_1 and x_2 converge to 0, all I need help with is describing the results and whether or not they make sense given the problem and it's context. Is this is something you can help me with? Thank you!

If you look at the attached picture, I already performed all of the work and determined that x_1 and x_2 converge to 0, all I need help with is describing the results and whether or not they make sense given the problem and it's context. Is this is something you can help me with? Thank you!

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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