Find the G.S. of the Riccati DE and the solution of the IVP (both must be written in the explicit form): Sx3y' + x2y = y2 + 2x4 {x?y' + y(1) = 2 Page 1 of 2 given that yı = cx2 is a particular solution for the Riccati DE.

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Answer 1

The general solution (G.S.) of the Riccati DE is y(x) = cx² + u(x), and the explicit form of the IVP solution is y(x) = cx² + (2 - cx²)/x².

1. Rewrite the given DE as: y' = (y² + 2x⁴ - x²y) / Sx³.
2. Given that y1 = cx² is a particular solution, substitute it into the DE to find the constant c.
3. The general solution is y(x) = y1 + u(x), where u(x) is another function to be determined.
4. Substitute y(x) = cx² + u(x) into the DE and simplify the equation.
5. Recognize that the simplified equation is a first-order linear DE for u(x).
6. Solve the first-order linear DE to find u(x).
7. Combine y1 and u(x) to obtain the general solution y(x) = cx² + u(x).
8. Use the initial condition x²y' + y(1) = 2 to find the explicit form of the IVP solution.

To know more about explicit form click on below link:

https://brainly.com/question/29272142#

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Related Questions

find the missing measure

Answers

42 is the answerss to it

If an object is dropped from 100 feet in the air and air resistance is ignored, the object will fall at a rate that can be modeled by the function h(t) = -16t? + 100. After how many seconds is the object 20 feet from theground?

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every foot is a second hope that helps

Please find what the value of x and y is!!!

Answers

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

8. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!

Write a rule for the linear function in the table.

A. f(x) = 1/2x +1

B. f(x) = –2x – 1

C. f(x) = x + 5

D. f(x) = 2x + 1

Answers

Answer:

I DON'T KNOW THE ANSWER

Step-by-step explanation:

SORRY

I NEED HELP PLZ HELP ME

Answers

Answer:

a) 50+10p

b) 30+12p

c) 10 pies

d) $150

Step-by-step explanation:

The answer to this question is B

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02

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Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-2)/(-4-(-2))

m=-4/(-4+2)=-4/-2=2

Can someone please help me with this question?

Answers

Answer:

110 degrees

Step-by-step explanation:

Ok so no matter what the shape is, the exterior angles always have to add up to 360 degrees. Then, you can make the equation:

140 + 110 + x = 360

250 + x = 360

x = 110 degrees

Here's another way you can do it:

To do this, you can start by noticing that the top angle would be 40 degrees, because there's a straight line with 140 degrees and that angle, so you can do 180 - 140 = 40 degrees.

Then, the angle towards the bottom right would be 70 degrees using the same strategy:

180 - 110 = 70 degrees

The interior angles of a triangle always have to add up to 180 degrees, so you can do 180 - 40 - 70 = 70 to find the third interior angle of the triangle.

The last step is to do 180 - 70 = 110 to find the measure of the exterior angle at that point.

what sin40? round to the nearest hundredth place

Answers

Answer:

i don't know just ask the internet

Answer:

0.75

Step-by-step explanation:

original answer: 0.74511316047

1. The fare of 12 kg of luggage for a distance of 36km is 24 rupees
How much fare will be charged for a luggage of 18kg for a distance
of 12km?

Answers

Answer:

16 rs maybe not sure sry if wrong

3/8 (2x - 8 / 3x) = 21 solve for x
A -66
B -70
C -84
D -96

Answers

Answer:

Step-by-step explanation:

pls solve~~~~~~~~~~~~~~~~~~~~~~~~

Answers

Answer:

Step-by-step explanation:

P°×q3

=1×q3

=q3

Solve for angle b and c

Answers

46 degrees for both b and c

Answer:

46 degrees for both b and c

Step-by-step explanation:

the vertical angles postulate means that the opposite angle must be the same, so 134*2=268

since all angles must be 360, subtract 268, which is 92

using the vertical angles again, b and c are the same, and the sum must be 92

92 divided by 2 is 46

The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in the slope-intercept form

Answers

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

pa help po need lang ipasa ngayon

Answers

[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]

[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]

[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]

[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]

[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]

[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]

[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]

[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]

[tex] \frac{14}{6} \times \frac{18}{5} = \frac{252}{30} = 8 \frac{2}{5} [/tex]

10.

[tex] \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac{1}{3} [/tex]

12. (8x+15) + 45 + (18x+15) + 45

Answers

2 ( 13x + 60 ) or 26x + 120 is the correct answer

Yea that what I got so he’s right

Which perfect squares does the number 73 falls in between?

Answers

Answer:

64 and 81

Step-by-step explanation:

8×8=64 and 9×9=81. 73 falls between these two numbers.

Is it true dat 2+2=5

Answers

Answer:

nah you tripping the answer is *22*.

Step-by-step explanation:

That's how I end up on harvard.

No it’s 4
Because
You have 2cars and you bought 2more it’s equal 4

f(x) = 3(x + 1)^2 − 27. Which two equations also represent function f?
1: f(x) = 3x2 + 2x − 26
2: f(x) = 3x2 + 6x − 24
3: f(x) = 3x2 − 24
4: f(x) = 3(x + 4)(x − 2)
5:f(x) = (3x + 4)(x − 8)
6: f(x) = 3(x + 12)(x − 2)

Answers

To much math but I tried to answer it and it’s 5 or 4 or 6

NOTE: Angles not necessarily drawn to scale.
X = ____ degrees

Answers

Answer:

x =60°

Step-by-step explanation:

GOOD QUESTION BRO

What is the solution of the system of equations?

=13+2−+3=6

Answers

Answer:

=13+2-+3=12 that what I take as a answer

Answer:

12=6

Step-by-step explanation:

well i evaluated it, snd thats what i got

I need help quick I'll give brainliest!

Answers

Answer:

I'm pretty sure its a bridge, hopefully that's right <3

Step-by-step explanation:

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

Answers

11 divided among the 5
2 and 1/5
Or 2.2

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4

Answers

Answer:

مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك

Step-by-step explanation:

Please answer this question

Answers

y=3x-3

y=mx+b
m: slope, the line goes up 3 and over 1 so the slope is 3/1 which is 3
b: y intercept, the line crosses the y axis at -3 so b is -3

Factorise fully
px + py

Answers

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

Find the 11th term of the following sequence:-8, 24, -72,....

Answers

Answer:

125

Step-by-step explanation:

Its pretty simple

PLEASE HELPPPPPPPP I BEGGGG YOU

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Equal. 4 and 5/5 is just 4 + 1, which is 5. 20/4 is also 5.

Combine like terms

7k + 4(k + 4)

A.8k + 16

B.11k + 16

C.7k + 1k + 16

D.27k

Answers

Answer:

B. 11k + 16

Step-by-step explanation:

We have an expression and are asked to combine like terms.

To solve this, we need to first distribute 4(k + 4). Which is to multiply four by both k and 4.

(4(k) + 4(4))

4k + 16

7k + 4k + 16.

Since 7k and 4k are like terms since they end in the same variable, we can only add them.

7 + 4

11k + 16

(8x +3) + (-6x +11)
Cebirsel iladerin terim Soyisini
Sabit terimini bulalum

Answers

Answer:

2x^2+85x+13

Step-by-step explanation:

I did not knew what you wanted, but I think this is what you wanted.

in real life when do you think it would br helpful to know to calculate slope

Answers

Answer:

When ur going down it

Step-by-step explanation:

Personally, I don’t. My grandma has never had to calculate slope in her entire life outside of school.

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