Ch 10/Variation of Parameters/H.K. Dass 3.30

Variation of Parameters

Works for ANY second-order linear DE. Especially useful when R(x) is sec x, tan x, cosec x, or log x where standard operator methods fail.

IThe Method

Given C.F. , the P.I. where:

where is the Wronskian.

Example 1medium

Solve .

Show step-by-step solution+
C.F.
.
u and v
, .
Answer
Example 2medium

Solve .

Show step-by-step solution+
C.F.
.
Compute u
.
Compute v
.
P.I. simplifies to
.
Answer
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