Find a particular solution to the differential equation.
The particular solution is .
The differential equation is:
Write the homogeneous differential equation of the equation (1),
The auxiliary equation for the above equation,
Solve the auxiliary equation,
The roots of the auxiliary equation are,
The complementary solution of the given equation is,
According to the method of undetermined coefficients, assume, the particular solution of equation (1),
Now find the derivative of the above equation,
From the equation (1), Substitute the value of and in the equation (1),
Comparing all coefficients of the above equation;
Solve the above equations,
Substitute the value of in the equation (3),
Therefore, the particular solution of equation (1),
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