Answer:
center (3,-8)
radius=5
Help me please I'm having trouble!!!!
2 answers:
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Answer:
k = 2
Step-by-step explanation:
As given,
the differential equation is - y'' + 9y = 26 .......(1)
Let the solution of the differential equation be y =
The auxiliary equation becomes
m² + 9 = 0
⇒m² = -9
⇒m = ±√-9
⇒m = ± 3i
So, the complimentary solution becomes
= A cos(3x) + B sin(3x)
Now,
Let the particular solution be = A
⇒ = -2A
and = 4A
Now,
equation (1) becomes
4A + 9 ( A
)= 26
⇒4A + 9A
= 26
⇒13A = 26
By comparing , we get
13A = 26
⇒A = = 2
∴ we get
= 2
so, the solution becomes
y = A cos(3x) + B sin(3x) + 2
As given , the solution y=k +4cos(3x)
So , by comparing with the solution , we get k = 2
So, the correct option is (A) 2.