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:
0.15
Step-by-step explanation:
Without Mincing words let us dive straight into the solution to the question above. We are given the following information which is going to aid in solving this particular question.
====> It is given, that there are 5 white balls and 10 red balls. Hence, the number of the total balls = 5 white balls + 10 red balls = 15 balls.
Therefore, the probability that 5 randomly selected balls contain exactly 3 white balls = ![\left[\begin{array}{ccc}5\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
× ![\left[\begin{array}{ccc}10\\2&\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D10%5C%5C2%26%5Cend%7Barray%7D%5Cright%5D)
÷ ![\left[\begin{array}{ccc}15\\3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%5C%5C3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= 450 ÷ 3003 = 0.15
The mathematical representation of Boyle's law is P1V1 = P2V2. The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
To find<span> the </span>area<span> of a rectangle multiply its height by its width. For a square you only need to </span>find<span> the length of one of the sides (as each side is the same length) and then multiply this by itself to </span>find<span> the </span>area<span>.</span>
The radius is 2 and area = r^2*pi so 4*pi gives you 12.56 so the exact answer would be 12.56 and the answer with pi would be 4 times 3.14!
