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3 years ago

Are the factors of number also the divisor

Mathematics

1 answer:

Feliz [49]3 years ago

8 0

No factors are for multiplication and divisors are for division i think

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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth

taurus [48]

Answer:

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

$y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\$

It is a homogeneous solution:

$y_h(t)=c_1e^{-2i t}+c_2e^{2i t}$

Now, we finding a particular solution.

$y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\$

we get

$y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

So, solution of the differential equation is

$y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos 2x+c_1e^{-2it}+c_2e^{2it}\\$

7 0

3 years ago

The inequality -3n<12 is equivalent to

pantera1 [17]

Answer: D. n > -4

Step-by-step explanation:

Given

-3n < 12

Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term

-3n / -3 > 12 / -3

n > -4

Hope this helps!! :)

Please let me know if you have any questions

3 0

3 years ago

Read 2 more answers

a shark can swim 24 meters in 36 seconds. at this rate, how far, in meters, will the shark swim in 2 minutes?

blagie [28]

Answer:80 meters

Step-by-step explanation: 24 meters = 36 secs

2 mins = 120 secs

Cross multiply

24×120/36

= 80 meters

Hope I helped you!!

8 0

4 years ago

Read 2 more answers

2c + 3a - 4c + 8 (The letters don't have any equals)

vodomira [7]

Answer:

3a -2c +8

You have to combine the same letters together, which is only 2c and -4c. Then you just write the rest of the equation.

6 0

3 years ago

Read 2 more answers

WILL REWARD!!! HELP

Nana76 [90]

2j+6a = 24

5j+3a =21

multiply the 2nd equation by -2

-10j -6a = -42

add the 1st and the modified 2nd together

2j+6a = 24

-10j -6a = -42

---------------------

-8j = -18

divide by -8

j = 2.25

substitute into

2j+6a = 24

2(2.25) +6a =24

4.50 +6a =24

subtract 4.5 from each side

6a = 19.50

divide by 6

a = 3.25

Answer:

jelly beans are 2.25 per pound

almonds are 3.25 per pound

6 0

3 years ago