I need someone who can help me in live time for 2 hours. I am planning on sitting and doing all the practise questions at a go.
differential equations calculus
1) models, direction fields, solutions, classification
2)linear DE, integrating factors, separable, modeling problems, Existence uniqueness theorems, linear/nonlinear, Autonomous, population dynamics, Exact, integrating factor, Euler’s numerical method
3) Homogeneous DE constant coefficients, Solutions, Wronksian, Complex roots, Repeated roots, Reduction of Order, Nonhomgenous equations, Undetermined coefficients, Vibration, Forced Periodic Vibrations
4)Intro to sys, Linear algebra/matrices theory ,Basic theory and homogeneous linear systems with constant coefficientss (real distinct eigvals) ,Complex eigvals, Repeated eigenvalues
5) Application of TD plane, Computing critical points of NonLinear systems, Understanding direction/vector fields/phase-portraits of NonLinear systems,”Linearization” of a NonLinear system near a Central Point and using it to determine type/phase portrait near a Central Point . Limitation of this, Models like Predator Prey and Competing Species, Determining trajectories without actual solving for x(t), y(t)
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