You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequal
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has characteristic equation
with roots at . Then the characteristic solution is
For the particular solution, consider the ansatz , whose first and second derivatives vanish. Substitute
and its derivatives into the equation:
Then the general solution to the equation is
With , we have
and with ,
Then the particular solution to the equation is