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Solve the differential equation $y\cdot dy=4x\sqrt{y^2+1}dx$

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Solution

Formulas

Videos

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

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

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 - How to solve by factoing using a perfect square trinomial y=20x+x^2+100

https://www.youtube.com/watch?v=VV8EOcSVZX4

Tutorial - Solve using the perfect square trinomial factoring technique y=4x^2+16x+16

https://www.youtube.com/watch?v=Kl5DA2U7vJU

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

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

Function Plot

Plotting: $y\cdot dy-4x\sqrt{y^2+1}dx$

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a
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n
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v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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

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

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

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

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

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

$\frac{dy}{dx}=\cos\left(3x-y\right)$

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

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 (5)

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