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

Used Formulas

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Solution

Formulas

Videos

Integration Techniques

· Integration by Substitution
$\int f\left(x\right)dx=\int f\left(g\left(t\right)\right) g'\left(t\right)dt$

Integrals of Rational Functions

$\int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C$

Function Plot

Plotting: $\frac{dy}{dx}+\frac{-2y-2x}{x}$

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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

$\left(y^2+2xy\right)dx-x^2dy=0$

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

$\frac{dy}{dx}=\frac{x+3y}{x-y}$

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

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

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

$xydx+2\left(x^2+2y^2\right)dy=0$

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

Used Formulas

See formulas (2)

Related Topics

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