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10/27/11 - Variation of Parameters and Inhomogeneous Linear ODEs with Constant Coefficients
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 | Method of Variation of Parameters
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Find homogeneous solution:
For the particular solution, change A and B to functions u and v:
Purely for simplicity, set the sum of the primed terms on the right to zero:
Substitute into the original ODE:
Simplify:
System of two linear equations:
Determinant of coefficient matrix is nonzero, so there is a solution:
Add -1 times the first equation to the second:
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| Demo of variation of parameters to justify multiplying by t to get independent solutions with repeated functions
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| Read Section 4.6 of the text, pp. 173-177.
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| Do exercises p. 177 (1,9,11,13).
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