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Solve the differential equation $\frac{dy}{dx}=\frac{3x^2+4y^2}{xy}$

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Solution

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Videos

Homogeneous Differential Equations

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

Pre-Calculus - Solving a trigonometric equation with our angle divided by 4, 2sin(x/4)+sqrt(3) =0

https://www.youtube.com/watch?v=CijimYb5MTM

Pre-Calculus - Solving trigonometric equations ex 8, cosx + sinx.tanx = 2

https://www.youtube.com/watch?v=LasCSb_b4OY

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

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

Function Plot

Plotting: $\frac{dy}{dx}+\frac{-3x^2-4y^2}{xy}$

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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

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

$\frac{dy}{dx}=\frac{x+3y}{x-y}$

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

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

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

$xydx+2\left(x^2+2y^2\right)dy=0$

$4xydx+\left(x^2+1\right)dy=0$

Main Topic: Integration by Trigonometric Substitution

Trigonometric substitution is the substitution of trigonometric functions for other expressions. One may use the trigonometric identities to simplify certain integrals containing radical expressions.

Used Formulas

See formulas (1)

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