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

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Solution

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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 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

Solving a rational equation when the LCD is a binomial expression

https://www.youtube.com/watch?v=Elq5pbF4sAA

Solving rational equations 3 | Polynomial and rational functions | Algebra II | Khan Academy

https://www.youtube.com/watch?v=5wUJLMWZ5Fw

Solving rational equations 2 | Polynomial and rational functions | Algebra II | Khan Academy

https://www.youtube.com/watch?v=RdYA8ZpqdJE

Function Plot

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

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a
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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

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

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

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

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

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

$\frac{dy}{dx}=2-2sin\left(y\right)$

$\frac{dy}{dx}=4sin\left(20x-5y\right)$

Main Topic: Integrals of Rational Functions of Sine and Cosine

The integrals of rational functions of sine and cosine are integrals where the integrand is a rational function composed of sines and cosines, usually in the denominator, which is not easily reducible. However, these integrals are easy to solve by applying the recommended substitution: $z=\tan\left(\frac{x}{2}\right)$

Used Formulas

See formulas (2)

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