Method of Undetermined Coefficients

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Complementary Function

1) Create auxiliary equation for homogeneous equation (=0)

2) Solve for roots

3) Based on roots form CF

Particular Integral (skip step if DE was already homogeneous)

4) Use data book to find trial PI

5) Times by independent variable if similar to CF

6) Differentiate twice

7) Sub these values into DE

8) Compare coefficients

9) Form PI

General solution

10) GS = PI + CF

Initial values (if given)

11) Substitute in the initial values and solve for unknowns