Linear equation:
The terms linear in y are the homogeneous part, the terms independent of y are the inhomogeneous term.
Linear equations allow solutions to be added:
Solve the homogeneous equation first:
y' + p y = 0
Separable:
Now solve the inhomogeneous equation:
Variation of parameter:
Put in the O.D.E. and solve for C(x).
10/12/01 0:44:59 10/15/01 0:00:10