And another in the Diff Eq series: Homogeneous Differential Equations
The main weakness in this page is no explanation of why they are "Homogeneous". I played with linking f(zx,zy) = z^n f(x,y) to dy/dx=F(x/y) form but failed. If anyone knows a user-friendly way of explaining why "Homogeneous" that would be nice.
Comments, suggestions and error checking welcome.
Continuing on with the series on Differential Equations: Solution of First Order Linear Differential Equations
Credit also goes to Les Bill Gates, a very capable mathematics teacher, for these pages.
I have been experimenting with a new way of formatting dy/dx etc, so if you notice any formatting issues could you screen print and post them so I can see (but try Refresh first).
I would value any feedback, ideas for improvement, and error checking!
I have updated the definition to this:
A number used to multiply a variable.
Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.
Sometimes a letter stands in for the number.
Example: In ax² + bx + c, "x" is a variable, and "a" and "b" are coefficients.
Let me know if you feel it can be improved.