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Algebra Baldor
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Solve the differential equation $x^{\prime}=x$

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Solution

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Final answer to the problem

$x=1$
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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
  • Load more...
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1

Rewrite the differential equation using Leibniz notation

Learn how to solve factorization problems step by step online.

$\frac{dx}{dx}=x$

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Unlock the first 3 steps of this solution

Learn how to solve factorization problems step by step online. Solve the differential equation x^'=x. Rewrite the differential equation using Leibniz notation. Simplify the fraction \frac{dx}{dx} by dx. Find the explicit solution to the differential equation. We need to isolate the variable x.

Final answer to the problem

$x=1$

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Function Plot

Plotting: $x=1$

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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
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:

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$\left(x+\frac{y}{x}\right)dx-dy=0$

Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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