use the annihilator method to determinethe form of a particular solution for the given equation.
The homogeneous of the given equation is
The solution of the homogeneous is
Now is annihilated by
Then, every solution to the given nonhomogeneous equation also satisfies
is the general solution to this homogeneous equation
Comparing (1) & (2)
Constructing Differential Equations. Given three functions that are each three times differentiable and whose Wronskian is never zero on (a, b), show that the equation
is a third-order linear differential equation for which is a fundamental solution set. What is the coefficient of y‴ in this equation?
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