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Solve the differential equation $y^{\prime}+y=y^2$

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Solution

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Videos

Algebra 2 - Learn how solve a quadratic by completing the square with fractions, x^2 + 3x + 6 = 0

https://www.youtube.com/watch?v=KWBr5zM3tXs

Algebra 2 - solving an equation by taking the square root of a fraction 36x^2 = 25

https://www.youtube.com/watch?v=2gcqiSV90KU

Algebra 2 - Learning to solve rational equations in math class ((x+3)/(x‐2)) + (5/(x^2‐4)) = 1

https://www.youtube.com/watch?v=y8p0Tpn3BcI

Algebra 2 - Learn to solve a rational equation by multiplying by the LCD (15/x)+((9x-7)/(x+2))=9

https://www.youtube.com/watch?v=BMSmvkWcVTU

Algebra 2 - Solving a factored quadratic equation using the zero product property, -x(3x + 5) = 0

https://www.youtube.com/watch?v=3on6rsKoK_k

Algebra 2 - Learn how to solve a quadratic equation by factoring x^2 - 4x = 21

https://www.youtube.com/watch?v=d2lzmhEwvLo

Function Plot

Plotting: $-\ln\left(y\right)+\ln\left(y-1\right)=x+C_0$

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a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Similar Problems Solved

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$\frac{dy}{dx}=y^2-9$

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$\frac{dy}{dx}=y-y^2$

$\frac{dy}{dx}=y\left(y+2\right)$

$\frac{dy}{dx}=\frac{x}{2x-y}$

Main Topic: Integrals by Partial Fraction Expansion

The partial fraction decomposition or partial fraction expansion of a rational function is the operation that consists in expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

Used Formulas

See formulas (4)

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