- An ansatz is an expression for the general solutions of a problem, or for most of them, which typically involves undetermined coefficients, and is used for an educated guess.
- The indicial equation (or indicial polynomial) of a linear differential equation with polynomial coefficients is the coefficient of the power of_x with lowest exponent in the expression that is obtained by the substitution y(x) = x^\alpha into the equation. Its roots are exactly the exponents of x that can appear as lowest exponents in a series solution of the differential equation.

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