With a proper fraction, the whole number would get smaller
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>
Goes right 7 and down 8
Answer: b
No, 17.39% were raised in Minnesota.
You can find this by dividing 40,000,000 by 230,000,000 and then converting to a percent by multiplying by 100.
40,000,000/230,000,000=.1739
.1739 x 100= 17.39%
Answer:
45%
Step-by-step explanation:
The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.
9/20 × 100% = 45%
45% of the 80 marbles are blue.
