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lisov135 [29]
3 years ago
5

=" \sqrt{5 + 2 \div \sqrt{5 - 2} } " alt=" \sqrt{5 + 2 \div \sqrt{5 - 2} } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Artemon [7]3 years ago
6 0

Answer:

so yea what was the answer again

Step-by-step explanation:

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Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
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Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

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(s-2) (s+5) =0

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Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

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A blueprint for a garage has a scale of 1.5 cm to 3 cm. on the blueprint, the lenght of one wall is 8cm. If w represents the len
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w = 16 cm, since 1.5:3 is a 1:2 ratio, 8 x 2 is 16

6 0
3 years ago
Read 2 more answers
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