mdchennu mdchennu
  • 23-04-2017
  • Mathematics
contestada

(2+x)dy/dx=3y need help

Respuesta :

kettboy kettboy
  • 23-04-2017
[tex](2+x) \frac{dy}{dx} =3y[/tex]
[tex] \frac{1}{3y} dy= \frac{1}{2+x} dx[/tex]
[tex] \int { \frac{1}{3y} } \, dy = \int { \frac{1}{2+x} } \, dx [/tex]
[tex] \frac{1}{3}\ln(3y) = \ln(2+x) + C[/tex]
(raise both to the power e): [tex]e^{ \frac{1}{3}\ln(3y)}=e^{\ln(k(2+x))}[/tex]
[tex](3y)^ \frac{1}{3} =k(2+x)[/tex]
[tex]3y=k(2+x)^3[/tex]
[tex]y= k(2+x)^3[/tex]
Answer Link

Otras preguntas

What type of relationship occurs when two variables both increase or decrease together?
Two lines intersect in more than one point always sometimes or never?
When making pink paint the teacher use the ratio 3:2 for every 3 cups of white paint she uses in the mixture she needs to use 2 cups of red paint whats the rati
what is 60 ten thousands
Use the commutative property of addition to write the related addition sentence
The difference of 10 and u
Evaluate (3.2)*2-(4.8)*2/3.2+4.8
Rename each additive inverse without parentheses -(2x+7)
Which best blocks X-ray particles and can therefore be observed more closely through the use of this technology? organs muscles fluids bones
If Roberto estimated that 5 out 8 automobiles have sun roofs. If he sold 72 automobiles, how many do not have sun roofs?