Consider the system of equations

Determine the stability of the steady states of these equations and sketch the phase plane. Confirm that your sketch is qualitatively correct by integrating these equations using RK4 with initial guesses x₁ = 0.01, x₂ = −5 and x₁ = −0.01, x₂ = −5. Do you feel that this phase plane reflects your feelings towards this book?

Transcribed Image Text:

x₁2x1x1x2 = X2 x2 = 2x²x₂