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Solve the differential equation $dy=\cos\left(2x+y+3\right)\cdot dx$

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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

Pre-Calculus - Determining the triple angle of cosine to solve the equation cos(3x)=-1/2

https://www.youtube.com/watch?v=M4ZbUoyVWvE

Worked example: exponential solution to differential equation | AP Calculus AB | Khan Academy

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

Homogeneous Differential Equations

https://www.youtube.com/watch?v=ZEJVyybsiT4

Algebra 2 - Solve an equation with rational terms (1/r^2) – ((4r–8)/r^2) = 1/r

https://www.youtube.com/watch?v=vCXAv5Ul5OA

Function Plot

Plotting: $dy-\cos\left(2x+y+3\right)\cdot dx$

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a
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g
m
n
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v
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x
y
z
.
(◻)
+
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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

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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

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