here is the question and my solution until i have become stumped:(adsbygoogle = window.adsbygoogle || []).push({});

The force acting on a particle of mass m is given by : F=kvx where k is a positive constant. The particle passes through the origin with speed vo at t=0. Find x as a function of t.

what i have done is set up the following differential equation:

[tex] k\frac{dx}{dt}x=m\frac{d^2x}{dt^2}[/tex]

is this correct? and if so, how do i solve this type of differential equation?

i am not so strong at de's

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# Homework Help: Differential mechanics equation

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