Find a general solution of y" + 8y' + 16y=0.
1 answer:
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 =
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Answer:
2 - 16
+ 18
Step-by-step explanation:
Given
(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors
= 2 (a² - 8a + 9) ← distribute the parenthesis by 2
= 2 - 16
+ 18