find a general solution to the given equation.
Theauxiliary equationof corresponding homogeneous equation
The solutions of the auxiliary equation are
Therefore a general solution to the homogeneous equation is
Let the particular solution be
Then role="math" localid="1663941222424"
Is the general solution of
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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