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Eddi Din [679]
3 years ago
3

State the order of the given ordinary differential equations. Determine whether the equation is linear or nonlinear.

Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

(1-x)y"-4xy'+5y=cosx

= Second order

= linear

2. t^5 y^(4) - t^3 y" + 6y =0

= Second order

= non linear

3. (d^2Y/dx^2) = sqrt ((1+(dy/dx)^2))

= Second order

= Linear

4. (Sinθ)y"'- (cosθ)y' =2

= Third order

= Non linear

Step-by-step explanation:

(1-x)y"-4xy'+5y=cosx

= Second order

= linear

2. t^5 y^(4) - t^3 y" + 6y =0

= Second order

= non linear

3. (d^2Y/dx^2) = sqrt ((1+(dy/dx)^2))

= Second order

= Linear

4. (Sinθ)y"'- (cosθ)y' =2

= Third order

= Non linear

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4x +  6 = 2x + 4
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3 years ago
There are 7 students in a class. If there are 3 seats in the front row, how many ways can the students sit in the front row, ass
oksian1 [2.3K]

Answer:

<h2>35 different ways</h2>

Step-by-step explanation:

Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.

In combination,<em> if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.</em>

<em>nCr = n!/(n-r!)r!</em>

Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.

7C3 = 7!/(7-3)!3!

7C3 = 7!/(4)!3!

7C3 = 7*6*5*4!/4!*3*2

7C3 = 7*6*5/6

7C3 = 7*5

7C3 = 35

<em>Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.</em>

3 0
3 years ago
Broccoli costs $1.50 per pound at a grocery store.how much money does 64 ounces of broccoli cost,before tax.
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8 0
4 years ago
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Two similar cylinders have volumes of 480cm3 and 60cm3.
Elanso [62]

Answer: 8:1

Step-by-step explanation:

480/60 = 8/1

3 0
4 years ago
Please help! Click on image. Hurry quick!
masya89 [10]

Answer:

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a) Area of triangle is 15 square inches

Perimeter of triangle is 18.5 inches.

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Perimeter of trapezium is 61.5 cm.

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Step-by-step explanation:

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