- Homogeneous Equations
- Numerical Solutions
- Review of material
in Chapter 1 & 2
- Models as well
If f is a homogeneous function of degree Alpha.
When alpha goes to 0, e.g. M and N are homogeneous of the same degree, use the substitution .
Factor and and goes away. We can clean it up further by factoring again and moving things around.
Flow chart for solving thus far
- Is it separable? – Cool, integrate
- Is it linear? – Cool, use an integrating factor
- Is it exact? – Cool, solve it with integrating factor and or if its homogeneous cool
- Call Euler and use numerical method. Tangent and find with error.