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

At a country concert, the ratio of the number of boys to girls is 2:7. If there are 250 more girls than boys, how many boys are a the concert?
find the slope of the line (-3, -2) and (3, 4)
Which property does the statement illustrate? Column A Column B 1. If x – 3 = y and y = 8, then x – 3 = 8. 2. If x + 2 = 7, then 7 = x + 2. 3. If m = 2x and
what is this -> 14y - 51=187 + 4y is y =17 the solution to the equation ? you need to show or write how u know ?? PLEASE help ?!
The start-up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he d
8/100 down from 5.71
The simple interest on an investment of $4000 for one year is $140. What is the interest rate? A. 0.035% B. 3.5% C. 35% D. 350%
what conclusion has been drawn by historians and specialists in languages when they study the languages of many European cultures and the majority of languages
What is true about an egalitarian family?
Is 3/4 greater than 0.75