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The differential equation is
.
The auxiliary equation is .
Find the roots of the auxiliary equation.
The roots of the auxiliary equation .
The complementary solution is
Find the particular solution.
The particular solution is of the form .
Apply derivative on each side with respect to x.
Apply derivative on each side with respect to x.
Substitute and in equation (1).
The particular solution is .
The general solution is .
The general solution is .
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