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1 answer:
Answer:
The point ( 0,-1) is a solution.
Step-by-step explanation:
y<= (x+1) (x+5)
y>= (x-1)^2 -6
See attached graph.
To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.
y<= (x+1) (x+5)
-1 <= (0+1) (0+5)
-1<= 1*5
-1 <=5
True
y>= (x-1)^2 -6
-1 >= (-1)^2 -6
-1 >= 1-6
-1 >=-5
True
The point is a solution
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Answer:
Step-by-step explanation:
Let,
Now, us simplify the given differential equation and write it in terms of D,
or,
or,
We have our auxiliary equation:
or,
or,
Therefore our solution is,
and,
Applying the boundary conditions, we get,
Solving them gives us,
Hence,