Answer:
the value of k is 6 and 12.
Step-by-step explanation:
The differential equation is y" – 18y' + 72y = 0.
A solution of this differential equation is
The first derivative is
The second derivative is
Substituting these values in the given DE
Factor out the GCF
The function can never be zero. Hence, we have
Therefore, the value of k is 6 and 12.
Smaller value = 6
Larger value = 12