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3 years ago

Please help me im being timed

Mathematics

2 answers:

grin007 [14]3 years ago

7 0

Pick a) because whatever I saw will be wrong

Lady bird [3.3K]3 years ago

5 0

When in doubt pick c

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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

A recipe needs 1/4 tablespoon salt.

-Dominant- [34]

Answer:

stan LOONA

Step-by-step explanation:

4 0

2 years ago

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Find two consecutive even integers whose sum is 22

andrew11 [14]

10 & 12

x = 1st consecutive even number

x + 2 = 2nd consecutive even number

x + x + 2 = 22

2x + 2 = 22

2x = 20

x = 10

x + 2 = 12

10 and 12 are the two consecutive even numbers

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3 years ago

The sun is about 10 • 10 million miles away from earth. Write 10 • 10 using an exponent. Then find the value of the power. How m

marissa [1.9K]

Answer:

so if 10 times 10 is 100
your answer should be 10 to the 2nd power ( the 2nd power is the little number that goes on the top right of 10)

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3 years ago

Find the slope of the line: y = (207 - 317 - 320) PLEASE ANSWER

Dmitry [639]

If i’m correct it’s y=2 im 99% sure

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3 years ago