Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is

Differentiating with respect to x

Again differentiating with respect to x

Putting the value of y, y' and y'' in left side of the differential equation


The auxiliary equation is




The complementary function is

y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral

[since
]
[ replace D by 0 , since L(0)≠0]

The complete solution is
y= C.F+P.I

Answer:
11
Step-by-step explanation:
11+8=19
19x3=57
Answer:

Step-by-step explanation:
If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore
|<em>subtract 4 from both sides</em>
<em />
<em>|subtract 5x from both sides</em>
<em />
<em>|change the signs</em>
<em />
<em />
Calculate the measure of ∠DOG
m∠DOG = 2(m∠DOT)

Answer: 9/29
Step-by-step explanation:
Add all songs up. 29
Add pop and rap songs up. 9
4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6
check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz
Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00