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aalyn [17]
3 years ago
9

PLEASE HELP MARKING BRAINLEIST Please don’t guess, I will ask for your work, thank you!

Mathematics
1 answer:
Dominik [7]3 years ago
3 0
D don’t ask I just know
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3 years ago
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
4 years ago
The Perimeter of the park is 318 m. Determine the length of the park.
Bond [772]

Answer:

Step-by-step explanation:

h=-5t²+135

when t=3 s

h=-5(3)²+135=-45+135=90 m

4 0
3 years ago
What is this word phrase as a math expression?
Arlecino [84]

11 times the sun of a number and 15

11(y+15)

the answer is d

have great day and I hope you make a good grade

3 0
2 years ago
Read 2 more answers
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