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

Step-by-step Solution

Go!
Symbolic mode
Text mode
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

Final answer to the problem

$y=\sqrt[3]{3\left(C_0+x^2\right)}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choisir une option
  • Equation différentielle exacte
  • Équation différentielle linéaire
  • Équation différentielle séparable
  • Equation différentielle homogène
  • Produit de binômes avec terme commun
  • Méthode FOIL
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $x^a$$=\frac{1}{x^{\left|a\right|}}$

$2x\left(\frac{1}{y^{\left|-2\right|}}\right)$

Learn how to solve equations différentielles problems step by step online.

$2x\left(\frac{1}{y^{\left|-2\right|}}\right)$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve equations différentielles problems step by step online. dy/dx=2xy^(-2). Apply the formula: x^a=\frac{1}{x^{\left|a\right|}}. Apply the formula: a\frac{b}{c}=\frac{ba}{c}, where a=2x, b=1 and c=y^{\left|-2\right|}. Apply the formula: a\frac{b}{x}=\frac{ab}{x}. Rewrite the differential equation in the standard form M(x,y)dx+N(x,y)dy=0.

Final answer to the problem

$y=\sqrt[3]{3\left(C_0+x^2\right)}$

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

Help us improve with your feedback!

Function Plot

Plotting: $\frac{dy}{dx}-2xy^{-2}$

SnapXam A2
Answer Assistant

beta
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

How to improve your answer:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account