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sukhopar [10]
3 years ago
12

What is the best methodology for working out factors of a number

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0
"Factors" are the numbers you multiply to get another number. For instance, factors of 15<span> are </span>3 <span>and </span>5<span>, because </span>3×5 = 15<span>. Some numbers have more than one factorization (more than one way of being factored)</span>
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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
PLZ HELP ASAP!!!<br> I really don’t understand these problems hope you guys can help!
Reil [10]

Answer:

#6 is 1001

#8 is x=1312

Step-by-step explanation:

6. 11*13*7= 1001

8. 32*41=x

x= 1312

5 0
3 years ago
Show that (2+3) + 6= (6+3) +2
lara [203]

Answer: use order of operstions

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-5,0) and has a
algol [13]
Y= 3/5x - 15/5
This should be your answer
4 0
2 years ago
Read 2 more answers
Please help I’ll give brainliest
Oksi-84 [34.3K]
It’s D if not I’m sorry
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