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

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  1. #1 ok

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

    so, (B)

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    posted by Steve

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