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:
C: y+7=2/5(x+4)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:
y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form
y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C
5 to 8 right or there more
Answer:
b = 12.6
Step-by-step explanation:
a*2 + b*2 = c*2
6*2 + b*2 = 14*2
36 + b*2 = 196
Subtract 36 from both sides
36 + b*2 = 196
-36 -36
b*2 = 160
Find the square root of both
b = 12.64911064 or 12.6