Chapter 17 · Ordinary Differential Equations
17.11
Series Solutions
When the coefficients aren't constant, look for a power series solution: substitute y = Σ aₙxⁿ, match coefficients, and solve the recurrence.
About 16 minutes
You'll learn to
- →Substitute a power series into a differential equation
- →Shift indices and find the recurrence relation
- →Identify ordinary and singular points
- →Bound the radius of convergence