Math 224-01: Differential Equations: Reading Homework 1.7
- Planar Systems and First-Order ODEs : what is different about the types of differential equations we consider in this section as compared to what we've done so far?
- Systems : why might we be prompted to consider systems, anyway?
- Point : what is the state space when considering systems?
- Point : what is an autonomous system?
- Point : what is a solution to a system? an orbit? component curves?
- ODEs as Systems : how is the ODE N(x,y) y'(x) + M(x,y) = 0 rewritten as a system? how is dy/dx related to dy/dt and dx/dt, and how does this allow us to rewrite the ODE as a system?
- Reduction Methods : what does reduction do to a second order differential equation?
- Point : what substitution reduces a differential equation with y'', y' and no ys to a first-order system?
- Point : what substitution reduces a differential equation with y'', y', y and no ts to a first-order system?
Math 224-01: Differential Equations: Reading Homework 1.7
Last Modified: Wed Feb 2 11:49:27 2000
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