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.
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What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(-4-(-2))
m=-4/(-4+2)=-4/-2=2
Factorise fully
px + py
Answer:
p(x+y)
Step-by-step explanation:
p(x+y)
hope that helps^^
find the missing measure
I NEED HELP PLZ HELP ME
Answer:
a) 50+10p
b) 30+12p
c) 10 pies
d) $150
Step-by-step explanation:
Is it true dat 2+2=5
Answer:
nah you tripping the answer is *22*.
Step-by-step explanation:
That's how I end up on harvard.
Solve for angle 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
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?
every foot is a second hope that helps
3/8 (2x - 8 / 3x) = 21 solve for x
A -66
B -70
C -84
D -96
Answer:
d
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?
Please find what the value of x and y is!!!
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.
what sin40? round to the nearest hundredth place
Answer:
i don't know just ask the internet
Answer:
0.75
Step-by-step explanation:
original answer: 0.74511316047
Find the 11th term of the following sequence:-8, 24, -72,....
Answer:
125
Step-by-step explanation:
Its pretty simple
pa help po need lang ipasa ngayon
1.
[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]
2.
[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]
3.
[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]
4.
[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]
5.
[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]
6.
[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]
7.
[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]
8.
[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]
9.
[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]
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
Step-by-step explanation:
slope-intercept form : y = mx + b
m = slope
b = y intercept
y = -5x +8
I need help quick I'll give brainliest!
Answer:
I'm pretty sure its a bridge, hopefully that's right <3
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - y = 4
Answer:
مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك
Step-by-step explanation:
pls solve~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
q3
Step-by-step explanation:
P°×q3
=1×q3
=q3
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?
Answer:
16 rs maybe not sure sry if wrong
in real life when do you think it would br helpful to know to calculate slope
Answer:
When ur going down it
Step-by-step explanation:
Can someone please help me with this question?
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.
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
Answer:
I DON'T KNOW THE ANSWER
Step-by-step explanation:
SORRY
Which perfect squares does the number 73 falls in between?
Answer:
64 and 81
Step-by-step explanation:
8×8=64 and 9×9=81. 73 falls between these two numbers.
Please answer this question
Combine like terms
7k + 4(k + 4)
A.8k + 16
B.11k + 16
C.7k + 1k + 16
D.27k
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
11
11k + 16
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)
NOTE: Angles not necessarily drawn to scale.
X = ____ degrees
Answer:
x =60°
Step-by-step explanation:
GOOD QUESTION BRO
(8x +3) + (-6x +11)
Cebirsel iladerin terim Soyisini
Sabit terimini bulalum
Answer:
2x^2+85x+13
Step-by-step explanation:
I did not knew what you wanted, but I think this is what you wanted.
12. (8x+15) + 45 + (18x+15) + 45
PLEASE HELPPPPPPPP I BEGGGG YOU
What is the solution of the system of equations?
=13+2−+3=6
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