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10 Higher Order Constant Coefficient

Last Updated: 2 years ago2023-01-25 ; Contributors: AhmedThahir

Higher Order Constant Coefficient

y(n)+⋯+py′+qy=0 y^{(n)} + \dots + py' + qy = 0

Solve using the same method as Constant Coefficient

mn+⋯+pm+q=0 m^n + \dots + pm + q = 0

For 3 equal roots,

y(x)=emx(c1+c2x+c3x2) y(x) = e^{mx}(c_1 + c_2 x + c_3 x^2)

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