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sdas [7]
3 years ago
10

Consider the differential equation 2y'' + ty' − 2y = 14, y(0) = y'(0) = 0. In some instances, the Laplace transform can be used

to solve linear differential equations with variable monomial coefficients. Use Theorem 7.4.1., Theorem 7.4.1 Derivatives of Transforms If F(s) = ℒ{f(t)} and n = 1, 2, 3, . . . , then ℒ{tnf(t)} = (−1)n dn dsn F(s), to reduce the given differential equation to a linear first-order DE in the transformed function Y(s) = ℒ{y(t)}. Solve the first-order DE for Y(s). Then find y(t) = &1{Y(s)}.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

Whoaaaa a picture would explain more than jus words

Step-by-step explanation:

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On Friday, Oscar sold 2 pitchers of lemon are from his lemonade stand. On Saturday, he sold 1/2 as much lemonade as on Friday. H
Ann [662]

Answer:

The correct answer is 1 pitcher.

Step-by-step explanation:

Oscar sold 2 pitchers of lemon are from his lemonade stand on Friday.

On Saturday, he sold \frac{1}{2} as much lemonade as on Friday.

The number of pitchers of lemon from the lemonade stand which Oscar sold on Saturday is given by \frac{1}{2} × 2 = 1 pitcher.

Thus Oscar sold 1 pitcher on Saturday which is half of the number of pitchers of lemon he could sell on Friday.

4 0
3 years ago
Write an expression that is equivalent to the sum of 4x^2+3 and 3x^2+8
Maslowich

(4x^2+3) + (3x^2+8) = 7x^2+11

8 0
3 years ago
Find the coordinates of the missing endpoint given E is the midpoint of DF. F(5,8) E(4,3)
masha68 [24]

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

7 0
3 years ago
Read 2 more answers
The gas gauge in a car shows it has 40% of a tank of gas. If the car has about 5 gallons, approximately how many gallons can the
avanturin [10]

Answer:

the tank can hold 12.5 gallons when it is full

Step-by-step explanation:

Let's assume

tank can hold 'x' gallons when it is full

we are given

The gas gauge in a car shows it has 40% of a tank of gas

So, gas in car is

=\frac{40}{100}\times x

and we have

the car has about 5 gallons

so, we can set it equal

and then we can solve for x

5=\frac{40}{100}\times x

5=\frac{4}{10}\times x

5=\frac{2}{5}\times x

Multiply both sides 5

5\times 5=5\times \frac{2}{5}\times x

5\times 5=2x

25=2x

we get

x=12.5

So, the tank can hold 12.5 gallons when it is full

8 0
3 years ago
Billy has 2.4 m of ribbon for crafts. He wants to share it evenly with 12 friends. How many centimeters of ribbon would 7 friend
Dimas [21]

Answer: 34.29cm

Step-by-step explanation:

From the question, we are informed that Billy has 2.4 m of ribbon for crafts and that he wants to share it evenly with 12 friends.

The number of centimeters of ribbon that each of the 7 friends would get will be gotten by dividing 2.4m by 12. We can solve this by first converting 2.4meters to centimeters. This will be:

= 2.4meters = 2.4 × 100cm = 240 centimeters.

We then divide 240cm by 7. This will be:

= 240cm/7

= 34.29cm

5 0
3 years ago
Read 2 more answers
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