To find: The value of r.
The value of .
The function .
The differential equation .
Constant multiple rule:
Obtain the first derivative of .
Therefore, the first derivative of is .
Obtain the second derivative of .
Apply the constant multiple rule (1),
Therefore, the second derivative of is .
Substitute the values of , and in ,
Since does not exit, .
Use the quadratic formula with ,
On further simplification to obtain the roots of the equation .
Therefore, the value of .
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