$\left(\frac{3y}{x}-8\right)dx+3dy=0$

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

$y=\frac{C_0+4x^2}{3x}$
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

Group the terms of the equation

$3dy=-\left(\frac{3y}{x}-8\right)dx$

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

$3dy=-\left(\frac{3y}{x}-8\right)dx$

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. ((3y)/x-8)dx+3dy=0. Group the terms of the equation. Apply the formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, where x=dy, y=\left(\frac{3y}{x}-8\right)dx, mx=ny=3dy=-\left(\frac{3y}{x}-8\right)dx, mx=3dy, ny=-\left(\frac{3y}{x}-8\right)dx, m=3 and n=-1. Combine all terms into a single fraction with x as common denominator. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=-1, b=3, c=3y-8x, a/b=-\frac{1}{3}, f=x, c/f=\frac{3y-8x}{x} and a/bc/f=-\frac{1}{3}\frac{3y-8x}{x}dx.

Final answer to the problem

$y=\frac{C_0+4x^2}{3x}$

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: $\left(\frac{3y}{x}-8\right)dx+3dy$

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