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# Solve the differential equation $\left(x+\frac{y}{x}\right)dx-dy=0$

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sinh
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asinh
acosh
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##  Final answer to the problem

$y=\left(x+C_0\right)x$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Exact Differential Equation
• Linear Differential Equation
• Separable Differential Equation
• Homogeneous Differential Equation
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
Can't find a method? Tell us so we can add it.
1

Combine all terms into a single fraction with $x$ as common denominator

$\frac{x^2+y}{x}dx-dy=0$

Learn how to solve problems step by step online.

$\frac{x^2+y}{x}dx-dy=0$

Learn how to solve problems step by step online. Solve the differential equation (x+y/x)dx-dy=0. Combine all terms into a single fraction with x as common denominator. Group the terms of the equation. Multiplying the fraction by -1. Multiply both sides of the equation by -1.

##  Final answer to the problem

$y=\left(x+C_0\right)x$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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