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DanielleElmas [232]
3 years ago
7

(1 point) Find the general solution to the homogeneous differential equation. ????2y????????2−20????y????????+136y=0 Use c1 and

c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. y(????)= ?
Mathematics
2 answers:
adell [148]3 years ago
5 0

Answer:

Question is not clear please post question clearly lots of question marks.

gregori [183]3 years ago
3 0

Your differential equation is not displayed well. It though looks like this:

2d²y/dx² - 20dy/dx + 136y = 0

If this is not the differential equation, the method of solving this would still be used in solving the correct one.

We first write an auxiliary equation to the differential equation.

The auxiliary equation is:

2m² - 20m + 136 = 0

Dividing by 2, we have

m² - 10m + 68 = 0

Next, we solve the auxiliary equation to obtain the values of m.

Solving using the quadratic formula

m = [-b ± √(b² - 4ac)]/2a

Where a = 1, b = -10, and c = 68

m = [10 ± √(100 - 272)]/2

= 5 ± (1/2)√(-172)

= 5 ± (1/2)i√172

= 5 ± 6.6i

For solutions of the form a ± ib, the complimentary solution is

y = e^(ax)[C1cosbx + C2sinbx]

Therefore, the complimentary solution is

y = e^(5x)[C1cos(6.6x) + C2sin(6.6x)]

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The price of a computer was decreased by 20% to £136. <br> What was the price before the decrease?
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Answer:

£ 170 .

Step by step explanation :

Given that the price of a computer was decreased by 20% to £136. And we need to find the Original price before the decrease. So , let the earlier price be x ,

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⇒ Decreased price = 20% of x

⇒ Decreased price = 20/100 × x

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⇒ New price = 5x - x/5

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⇒ x = £ 170

<h3><u>Hence</u><u> </u><u>the</u><u> Original</u><u> price</u><u> </u><u>was</u><u> </u><u>£</u><u> </u><u>1</u><u>7</u><u>0</u><u> </u><u>.</u></h3>

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Adam has 7 cousins. The ages of all of the cousins, including Adam, are 17, 14, 18, 19, 6, 3, 6, and 12. What is the mean age of
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