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Solve the differential equation $\left(3x^2+6xy-y^2\right)dx+\left(3x^2-2xy+3y^2\right)dy=0$

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Solution

Videos

Algebra 2 Completing the square to write a quadratic from standard form to vertex form, y=-3x^2+6x-5

https://www.youtube.com/watch?v=pUaEwqYb-K8

Pre-Calculus - Converting an equation from rectangular to polar, x^2 + y^2 = 9

https://www.youtube.com/watch?v=46_QORErDMk

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

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

Function Plot

Plotting: $\left(3x^2+6xy-y^2\right)dx+\left(3x^2-2xy+3y^2\right)dy$

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5
6
7
8
9
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

$\frac{dy}{dx}=\frac{5x^2}{4y}$

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

$\frac{dy}{dx}=\frac{e^x}{y^2}$

$\frac{dy}{dx}=\frac{\sin\left(x\right)}{e^y}$

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

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

$xdx+ydy=0$

Main Topic: Differential Equations

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

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