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SOVA2 [1]
3 years ago
10

Solve (D*D + 4)y = x + cos²x​

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.

Step-by-step explanation:

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214 out of 450 students went to a concert, what percent did not go?
Vera_Pavlovna [14]

Answer:

.75% .0075 of the people that went to the concert said they would go if they could not see the band again. To find this you simply divide 9 by 1200, which equals .0075

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A person x inches tall has a pulse rate of y beats per​ minute, as given approximately by yequals600 x Superscript negative 1 di
tankabanditka [31]

Answer:

a) 5.13beats/min

b) 2.82 beats/min

Step-by-step explanation:

Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75

If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;

y = 600(39)^-1/3

y = {600(1/39)}/3

y = 600/39×3

y = 600/117

y ≈ 5.13beats/min

The instantaneous rate for a 39 inches tall person is 5.13 beats per min

b) For a 71inches tall person, the beat rate will be expressed as;

y = 600(71)^-1/3

y = {600(1/71)}/3

y = 600/71×3

y = 600/213

y ≈ 2.82 beats per minute

The instantaneous rate for a 71 inches tall person is 2.82 beats per min

7 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br>Convert 52 km to miles.​
11111nata11111 [884]

Answer:

83.2

Step-by-step explanation:

Given, 5 miles is 8km.  

So, 1 mile will be (8/5) km.  

Now, 52 miles will be (8/5) x 52= 83.2

sorry if I'm wrong plz don't report me :(

(hope this helps can i plz have brainlist :D hehe)

4 0
3 years ago
Read 2 more answers
A metal plate measuring 32cm by 12cm is cut into
Reil [10]

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

5 0
3 years ago
Read 2 more answers
1) Matthew can run of a mile in of an hour. What is the unit rate?
Scrat [10]
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7 0
3 years ago
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