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Alexandra [31]
3 years ago
13

I don’t understand this

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

F(x) = √2x-4

Step-by-step explanation:

X ≥ 2

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(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
Equation of a line with slip of 5 passing through points (-4,-6)
kirill [66]

\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})~\hspace{10em} slope = m\implies 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=5[x-(-4)] \\\\\\ y+6=5(x+4)\implies y+6=5x+4\implies y=5x-2

5 0
3 years ago
Seven than the product of 5 and a number
weqwewe [10]
Do you mean 7 more than the product of 5 and a number? If so the answer is... y=7+5x
5 0
3 years ago
Read 2 more answers
A gardener has 72 feet of fencing to enclose a
ivann1987 [24]

Answer:

p =6w+8=6*(9/3)+8=46 so w =25/3ft and l=44/ 3

Step-by-step explanation:

5 0
3 years ago
I WILL SELECT A BRAINIEST,LIKE AND GIVE 20 POINTS TO THE FIRST PERSON TO AWNSER MY QUESTIONS.
Cerrena [4.2K]
23.) 21 hrs at $ 11 per hr = (21 * 11) = 231....and u received 91% of ur wages...
       0.91 (231) = 210.21 
       fraction u got : 210.21 / 231 = 0.91 = 91/100 <== I am not 100% sure on 
       this. I might be making this harder then it looks....u r going to get 210.31 take home pay.....or 91% which in fraction form is 91/100

26B.  17/10 = 85/ x
          cross multiply
          17x = 850
          x = 850/17
          x = 50....50 liters of oil <==

26C. 12:9...added = 21

         12/21(4200) = 50400/21 = 2400 <== higher cost receives 2400
          9/21(4200) = 37800/21 = 1800


5 0
3 years ago
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