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
</span>
Answer:
See attached picture
Step-by-step explanation:
To graph, use y=mx+b as a guide where m is the slope and b is the y-intercept.
y=-3x-4
Start at -4 on the y-axis. Plot a point. This is the y-intercept b. From this point count down 3 units and 1 unit to the right. Plot this point and connect.
y=3/4x +2
Start at 2 on the y-axis. Plot a point. This is the y-intercept b. From this point count up 3 units and 4 units to the right. Plot this point and connect.
Answer:
Step-by-step explanation:
Solution:
AM =( X_1 + X_2 )/2
=( 18 + 2 )/2
=20/2
=10
Find Geometric mean for data 18,2
Solution:
GM =sqrt( X_1 × X_2 )
=sqrt( 18 × 2 )
=sqrt(36)
=6
Answer:
- ∠N ≅ ∠J - given
- LN ≅ LJ - given
- ∠L ≅ ∠L - reflexive property
<u>Postulate</u>: ASA
<u>Congruency Statement:</u> ΔJML ≅ ΔNKL
Last in First out - The last item/inventory purchased are sold first. Hence your answer is a.$10.
