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

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

pa help po need lang ipasa ngayon

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[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]

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

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.

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

Answers

Answer:

125

Step-by-step explanation:

Its pretty simple

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:

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

Answers

Answer:

Step-by-step explanation:

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.

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

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

Answers

Answer:

x =60°

Step-by-step explanation:

GOOD QUESTION BRO

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

(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.

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 HELPPPPPPPP I BEGGGG YOU

Answers

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

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

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?

Answers

every foot is a second hope that helps

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.

find the missing measure

Answers

42 is the answerss to it

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

Answers

Answer:

Step-by-step explanation:

P°×q3

=1×q3

=q3

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.

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

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

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

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

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

Answers

Answer:

Step-by-step explanation:

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

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

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

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

Factorise fully
px + py

Answers

Answer:

p(x+y)

Step-by-step explanation:

p(x+y)

hope that helps^^

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

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

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

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