Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
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Answer:
surface area of cuboid=2(lb+bh+hl)
surface area of cuboid=2(12×5+5×2+2×12 )
surface area of cuboid=188in²
Answer:
i think A
Step-by-step explanation:
is a valid argument
is not a valid argument
For the first argument:
From the definition of absolute value function
if 
That is every positive number is its own absolute value. Since
,
we can argue that
so the first argument is valid
For the second argument:
From the definition of absolute value function
This means that
or
no part of the definition allow for the option 
. So the second argument is not valid.
Learn more here: brainly.com/question/11897796
Answer:
x = 5
Please tell me if im incorrect and hope this helped ^^
