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Solve the differential equation $\frac{dy}{dx}=\frac{x^2+1}{y^2}$

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Solution

Formulas

Videos

Algebra 1 - Solve an equation with a rational term 1/x= 3+ 7/x^2+7x ex 2

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

Tutorial - Solve by factoring when a perfect square 0=x^2+6x+9

https://www.youtube.com/watch?v=F7O02LqPQp0

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

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

Pre-Calculus - Using the square root method to solve a quadratic equation, (1/2)x^2 + 3 = 19

https://www.youtube.com/watch?v=dvE_W89LrqA

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

Function Plot

Plotting: $\frac{dy}{dx}+\frac{-x^2-1}{y^2}$

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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 (3)

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