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# Solve the differential equation $\int x^4dx=\frac{x^5}{5}$

## Step-by-step Solution

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sinh
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asinh
acosh
atanh
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asech
acsch

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$\frac{x^{5}}{5}-\frac{x^5}{5}=C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int x^4dx=\frac{x^5}{5}$

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Solve the integral $\int x^4dx$ and replace the result in the differential equation

$\frac{x^{5}}{5}=\frac{x^5}{5}$

Learn how to solve problems step by step online.

$\frac{x^{5}}{5}=\frac{x^5}{5}$

Learn how to solve problems step by step online. Solve the differential equation int(x^4)dx=(x^5)/5. Solve the integral \int x^4dx and replace the result in the differential equation. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.

$\frac{x^{5}}{5}-\frac{x^5}{5}=C_0$

##  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

Linear Differential EquationExact Differential EquationSeparable Differential EquationHomogeneous Differential Equation

SnapXam A2

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1
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5
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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

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