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

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Solution

Formulas

Videos

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 a system of equation when they are the same line, 3x - 2y = -15; x - (2/3)y = -5

https://www.youtube.com/watch?v=nrrINRUnk74

Tutorial - How do we solve a system of linear equations using any method (x+3)/4+(y-1)/3 =1, 2x-y=12

https://www.youtube.com/watch?v=spCN2XloBBQ

Solving equations and inequalities through substitution example 2

https://www.youtube.com/watch?v=xG_XJ2ywi6M

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

Function Plot

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

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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

How to improve your answer:

Similar Problems Solved

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

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

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

$\frac{dy}{dx}=\frac{x^2-y^2}{3xy}$

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

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

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

Main Topic: Weierstrass Substitution

In integral calculus, the Weierstrass substitution or tangent half angle substitution is a method for solving integrals, which converts a rational expression of trigonometric functions into an algebraic rational function, which can be easier to integrate. The Weierstrass substitution is very useful for integrals that involve a simple rational expression with sine and/or cosine in the denominator.

Used Formulas

See formulas (4)

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