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Solve the differential equation $\frac{dy}{dx}=\frac{6x^3+2x^2+5}{x\left(9y^2+2\right)}$

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Solution

Formulas

Videos

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 - Completing the square to solve a quadratic with irrational solutions, 2x^2 - 10x + 5 = 0

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

Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2

https://www.youtube.com/watch?v=fzjoQXBd0uU

Homogeneous Differential Equations

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

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

Function Plot

Plotting: $\frac{dy}{dx}+\frac{-6x^3-2x^2-5}{x\left(9y^2+2\right)}$

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0
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

How to improve your answer:

Similar Problems Solved

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

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

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

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

$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$

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

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

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

Used Formulas

See formulas (4)

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