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

Hay muchos aviones en la ___________del aeropuerto.
This excerpt is from “The Poet” by Alfred, Lord Tennyson. The poem describes a poet's consciousness and perception. Which lines suggest the richness of a poet's
what is the area of this figure?
perform the operation 0.05 ÷ 58.32
Ok really help plz asap Using your answer from the above question, create a conclusion about the age of Oscar winners. Why is your conclusion relevant?
________cuadernos son míos
Which of the following is not a suggested way to build your vocabulary? a. use the dictionary b. listen c. read d. skim pages
What is photochemical smog and where is it usually found?
Why have many people in the region relied primary on radio for news and information?
Which absolute value statement describes a 40 yard gain in football? A) |40| = 40 B) |-40| = 40 C) -|40| = 40 D) -|-40| = 40