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Solve the differential equation $\frac{dy}{dx}=x\sqrt{x^2+9}$

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Solution

Formulas

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

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

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

Algebra 2 - using the square root method to solve a quadratic equation 4x^2 - 4x + 1 = 9

https://www.youtube.com/watch?v=90FQ2oLoEEQ

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

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

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

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

Algebra 2 - How to use the product rule of logarithms to solve an equation, log6 (x) +log6 (x-9)=2

https://www.youtube.com/watch?v=_MZ4LL4ooE4

Function Plot

Plotting: $\frac{dy}{dx}-x\sqrt{x^2+9}$

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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

$\frac{dy}{dx}=\frac{1}{6x-42}$

$ydy=4x\left(y^2+1\right)^{\frac{1}{2}}dx$

$\frac{dy}{dx}=\sin5x$

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

$\frac{dy}{dx}=y^2-9$

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

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

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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