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

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Solution

Formulas

Videos

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

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

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

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 2 - Learn how to solve a quadratic equation by factoring x^2 - 4x = 21

https://www.youtube.com/watch?v=d2lzmhEwvLo

Algebra: Linear equations 2 | Linear equations | Algebra I | Khan Academy

https://www.youtube.com/watch?v=DopnmxeMt-s

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

Function Plot

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

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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

$\left(x^2+1\right)\frac{dy}{dx}+3xy=6x$

$\left(x+\frac{y}{x}\right)dx-dy=0$

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

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

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

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

$dy=\left(x-3y\right)dx$

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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