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azamat
3 years ago
11

In this problem,y = 1/(x2 + c)is a one-parameter family of solutions of the first-order DEy' + 2xy2 = 0.Find a solution of the f

irst-order IVP consisting of this differential equation and the given initial condition.
Mathematics
1 answer:
trasher [3.6K]3 years ago
6 0

Differentiate the given solution:

y=\dfrac1{x^2+C}\implies y'=-\dfrac{2x}{(x^2+C)^2}

Substitute y and y' into the ODE:

-\dfrac{2x}{(x^2+C)^2}+2x\left(\dfrac1{x^2+C}\right)^2=0

and it's easy to see the left side indeed reduces to 0.

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I need help urgently!! I’ll make you brainliest!!
guajiro [1.7K]

Answer:

SQUARE= 108 blocks

CIRCLE= 97.97

# OF BUNDLES= 2.05, 3

Step-by-step explanation:

square- find perimeter

  • 22.5 x 4= 90ft
  • 90ft/10inches
  • convert 90 ft to inches> 90 x 12= 1080/10= 108

circle-

  • find the circumference= c=2piR
  • 2x3.14x13=81.64
  • 81.64ft to in = 979.68/10
  • =97  rounded

number of bundles = 205/100 =2.05, so 3

6 0
3 years ago
17. Factor x ^ 3 + 5x ^ 2 - 9x - 45 . A. (x - 5)(x ^ 2 + 9) b . (x - 5)(x - 3) * (x + 3) Factor By Groupin (x + 5)(x - 3) * (x +
jok3333 [9.3K]

Answer:

b

Step-by-step explanation:

Given

x³ + 5x² - 9x - 45 ( factor the first/second and third/fourth terms )

= x²(x + 5) - 9(x + 5) ← factor out (x + 5) from each term

= (x + 5)(x² - 9) ← factor as a difference of squares

= (x + 5)(x - 3)(x + 3)

3 0
3 years ago
The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretar
natima [27]

Answer:

P=1/42.

Step-by-step explanation:

We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:

We calculate the number of possible combinations:

C_4^{10}=\frac{10!}{4!(10-4)!}=210

Number of favorable combinations is 5.

Threfore, the probability is

P=5/210

P=1/42.

8 0
3 years ago
Consider the intersecting lines shown. Which of the following statements is true?
elixir [45]

Answer:

C. m∠x + m∠y = 180

Step-by-step explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.

3 0
3 years ago
Can someone answer and do the working out please!
trasher [3.6K]

Answer:

y=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

7y−4=−32

Step 1: Add 4 to both sides.

7y−4+4 =−32+4

7y =−28

Step 2: Divide both sides by 7.

7y/7 = −28/7

y=−4

(/:divide) Hope it helps!!

4 0
3 years ago
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