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>
If you would like to know the solution to the equation, you can calculate this using the following steps:
4/5n - 3/5 = 1/5n /*5n
4 - 3/5 * 5n = 1
4 - 3n = 1
4 - 1 = 3n
3 = 3n
n = 1
The correct result would be n = 1.
Answer:
24
Step-by-step explanation:
its positive
Mean is when you add up all the numbers, then divide by how many numbers there are
<span>39 + 43 + 46 + 86 + 22 + 39 + 75 = 340
340 </span>÷ 7 (because there are 7 numbers) = 48.57
