Solve the differential equation $dx-x^2dy=0$

Step-by-step Solution

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e
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sin
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asin
acos
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch
Solving: $dx-x^2dy=0$
Solve instead: $dx-x^2dy$

Final answer to the problem

$y=\frac{1}{-x}+C_0$
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Step-by-step Solution

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  • 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
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1

Group the terms of the equation

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$-x^2dy=-dx$

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Unlock the first 3 steps of this solution

Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation dx-x^2dy=0. Group the terms of the equation. Multiply both sides of the equation by -1. Multiply -1 times -1. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality.

Final answer to the problem

$y=\frac{1}{-x}+C_0$

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Function Plot

Plotting: $dx-x^2dy$

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Answer Assistant

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Got a different answer? Verify it!

Go!
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

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