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:
50% chance of harriet picking a blue marbel I hope that this is the answer you wanted
Answer:
-2y
Step-by-step explanation:
Let's simplify step-by-step.
x−y−(x+y)
Distribute the Negative Sign:
=x−y+−1(x+y)
=x+−y+−1x+−1y
=x+−y+−x+−y
Combine Like Terms:
=x+−y+−x+−y
=(x+−x)+(−y+−y)
=−2y
Answer:
2
Step-by-step explanation:
Equation: p x r x n = I
$750 x 4% x n = $60
30 x n = $60
$60 / 30
n = <u>2</u>
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<em>Hope this helps</em>
<em>-Amelia The Unknown</em>
Answer:
The ratio of seniors to the total team members is 7: 11
Step-by-step explanation:
Let us solve the question
∵ A varsity boy's basketball team has a ratio of seniors to juniors that is 7: 4
∴ seniors: juniors = 7: 4
→ That means seniors have 7 parts and juniors has 4 parts
∴ The seniors' members = 7 parts
∴ The juniors' members = 4 parts
→ Add them to find the total parts of the team
∴ The team's members = 7 + 4 = 11 parts
→ To find the ratio of the seniors' members to the total team's member
divide their parts
∵ The seniors ÷ The total = 
∵ The seniors' member : The team's members = 7: 11
∴ The ratio of seniors to the total team members is 7: 11
