My Math Forum Differential equation problem!

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 July 7th, 2009, 06:35 AM #1 Newbie   Joined: Jul 2009 Posts: 3 Thanks: 0 Differential equation problem! How do i work this differential equation out so that it is in the form "v(t)= ... " I'm afraid that i am a bit rusty at DE $\displaystyle \rho A C_D (V_w - v(t))^2 = m \frac {dv} {dt}$
 July 7th, 2009, 06:48 AM #2 Newbie   Joined: Jul 2009 Posts: 3 Thanks: 0 Re: Differential equation problem! Here is the equation in a more viewable format P*A*C*[V-V(t)]^2 = m(dv/dt)
 July 7th, 2009, 02:57 PM #3 Global Moderator   Joined: Dec 2006 Posts: 19,064 Thanks: 1621 Did you mean PAC(V - v(t))² = m(dv/dt), where V and PAC/m are constants? If so, separate the variables (i.e., divide the equation by m(V - v(t))²) and integrate, then rearrange the result.
 July 8th, 2009, 07:50 AM #4 Newbie   Joined: Jul 2009 Posts: 3 Thanks: 0 Re: Differential equation problem! ok, i'll try that.

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