Ask questions and get helpful responses.

Calculus

Which of the following is a separable, first-order differential equation?

A) dy/dx= x+y/2x
B) dy/dx=x+y/x-y
C) dy/dx=sinx <<
D) dy/dx=xy/x+y
E) dy/dx= 2lnxy

2) The differential equation dy/dx=y/x^2 has a solution given by:
A) y=C sqrt(x^2+4)
B)y=C e^-1/x
C)-1/2ex^2+C
D) x^2+y^2=C
E)y=Ce^-kt

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. #1 ok

    #2
    dy/y = dx/x^2
    lny = -1/x + c
    y = e^(-1/x + c)
    = ce^(-1/x)

    so, (B)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. 1C

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Still need help? You can ask a new question.