Math Problem Statement
the system of differential equations dx/dt=x-2y+3, dy/dt=x-y+2 has (-1,1) as a cirtical point classift the critical point on this plase portatit of the system
- saddle 2)spiral c)node d)center
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Differential Equations
Linear Algebra
Eigenvalues
Jacobian Matrix
Phase Portraits
Formulas
Characteristic equation
Quadratic formula
Theorems
Classification of critical points
Suitable Grade Level
University
Related Recommendation
Analyzing Autonomous Systems of Differential Equations
Solving a System of Differential Equations Using Eigenvalues and Eigenvectors
Solving Differential Equations and Linear Systems
Solving the Characteristic Equation for a Jacobian Matrix at Equilibrium
General Solution of Linear Differential Equations with Given Matrix Coefficients