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1 answer:
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Answer:
The general solution:
Step-by-step explanation:
Differential equation: y'' + 8y' + 16y = 0
We have to find the general solution of the above differential equation.
The auxiliary equation for the above equation can be writtwn as:
m² + 8m +16 = 0
We solve the above equation for m.
(m+4)² = 0
= -4,
= -4
Thus we have repeated roots for the auxiliary equation.
Thus, the general solution will be given by:
y =
y =