10 Higher Order Constant Coefficient
Higher Order Constant Coefficient¶
\[ y^{(n)} + \dots + py' + qy = 0 \]
Solve using the same method as Constant Coefficient
\[ m^n + \dots + pm + q = 0 \]
For 3 equal roots,
\[ y(x) = e^{mx}(c_1 + c_2 x + c_3 x^2) \]