8/4/2019 Particular Integrals Updated

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Particular Integrals

2

2 +

+ = ()

Auxiliary Quadratic: 2 + + = 0

Two real roots: = +

Two equal roots: = ( + )

Two imaginary roots: = cos + sinTwo complex roots: = ( cos + sin )

Form of()

2

cos

sin

cos + sin

Form of Particular

Integral

+

+ + 2

cos + sin

cos + sin

cos + sin