The slope field for the system dx = 2x + 6y dt dy = 2x – 2y dt is shown to the right. (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions. () Plot the x(t)- and y(t)-graphs (t 0) for the initial conditions A = (1,-1), B = (3, 1), C = (0,-1), and D = (-1, 2). y D B -3 X -+ -3
The slope field for the system dx = 2x + 6y dt dy = 2x – 2y dt is shown to the right. (a) Determine the type of the equilibrium point at the origin. (b) Calculate all straight-line solutions. () Plot the x(t)- and y(t)-graphs (t 0) for the initial conditions A = (1,-1), B = (3, 1), C = (0,-1), and D = (-1, 2). y D B -3 X -+ -3
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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