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Solve the differential equation $\frac{dy}{dx}=y\left(1-y\right)$

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Solution

Formulas

Videos

Homogeneous Differential Equations

https://www.youtube.com/watch?v=ZEJVyybsiT4

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Tutorial - How do we solve a system of linear equations using any method (x+3)/4+(y-1)/3 =1, 2x-y=12

https://www.youtube.com/watch?v=spCN2XloBBQ

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

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

Algebra 1 - Using the zero product property to solve (m-3)(m+5) = 0

https://www.youtube.com/watch?v=pF-yoDwTMiE

Function Plot

Plotting: $\frac{dy}{dx}-y\left(1-y\right)$

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0
a
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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

How to improve your answer:

Similar Problems Solved

$\frac{dy}{dx}=\frac{x^2-y^2}{3xy}$

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

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

$\frac{dy}{dx}=y^2-4$

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

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

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

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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