First order: no terms of order higher than (such as )
Linear: no product of dependent variables such as
Homogenous: y = 0 is a solution
Solving first-order linear equations
- Find homogenous solution first
- Assume solution is y = yhomo + ynon − homo
Only three things needed for all such 1st order linear equations: initial value y0, final value , time constant τ.
RC circuit, water tank, flux across cell