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Solve the differential equation $y^{\prime}=\frac{\left(2x-1\right)\sqrt{x}-\frac{1}{2}x^{-\frac{1}{2}}\left(x^2-x+2\right)}{x}$

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Solution

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Videos

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 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 - Solving a rational Equation ex10, x/(x^2-2) = -1/x

https://www.youtube.com/watch?v=-C7OpRt_MFU

Tutorial - Solving a rational Equation ex2, 1/x + x/2 = (x+4)/ 2x

https://www.youtube.com/watch?v=a49VWDDgsMk

Algebra 2 - Sketch the graph of a factored polynomial using multiplicity, y = (x - 1)(x + 1)(x - 3)

https://www.youtube.com/watch?v=nJigkPDcwG4

Extraneous solutions of radical equations | Mathematics III | High School Math | Khan Academy

https://www.youtube.com/watch?v=m4eiYHL3PP8

Function Plot

Plotting: $y=\sqrt{x^{3}}-\sqrt{x}+\frac{2}{\sqrt{x}}+C_0$

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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

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Similar Problems Solved

$\frac{dy}{dx}=e^{x-y}+e^x+e^{-y}+1$

$\frac{dy}{dx}=\left(x-y+5\right)^2$

$x^{-2}y^{-5}dx+x^{-3}y^{-4}dy=0$

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

$\frac{dy}{dx}=ay$

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

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

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (3)

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