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Soloha48 [4]
3 years ago
10

PLEASE HELP ON THESE TOO! THANK YOU SO MUCH! :)

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

F & A

Step-by-step explanation:

The answers are F&A.

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Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?
Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

t^2y''-ty'+y=0 where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find  the solutions are independent or dependent.

To find  the solutions are independent or dependent we use wronskain

w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let y_1=t,y_2=t ln t

y'_1=1,y'_2=lnt+1

w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}

w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t where t is not equal to zero.

Hence,the wronskian  is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0
3 years ago
Which posture or theorem proves that these two triangles are congruent
inysia [295]

Answer:

AAS Congruence Theorem

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3 years ago
How much coffee will each person get if 3 people share 1/2 a pound of coffee?
Usimov [2.4K]

Answer:6 pounds you need to divide 3 by .5 and you will get 5

Step-by-step explanation:

5 0
3 years ago
What is the slope of the line that passes through the points (-5,9) and (5,11)?
Minchanka [31]
The slope is 1/5


I hope this helps!!!!
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3 years ago
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I think the answer is: 1/50
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