# Thread: New here and to Differential Equations...does this make sense?

1. ## New here and to Differential Equations...does this make sense?

Or is it just wishful thinking?

F=ma

a=F/m

dv/dt=F/m

dv= F/m dt

Acceleration is the first derivative of velocity. Integrate

delta V= F/m*t

That seems to make sense. Did I do this right or just get lucky?

Fermion

2. I'd say that makes sense.

That's a pretty cool way of thinking about it!

3. Assuming that F is a constant, yes it is. If F is a function of t, you would need to integrate rather than just multiplying by t. If F is a function of v, as some friction forces are, you would need to move it to the left side of the equation before integrating.