Find the two values of k for which y(x) = ekt is a solution of the differential equation y" – 18y' + 72y = 0. smaller value = larger value = preview preview

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

d is the answer

step-by-step explanation:

answer: f = 32.2m

step-by-step explanation: that is the answer