Separate the variables:
If, as I assume m is mass then it is non-zero and can be cancelled. I have also assumed that v << c so we can ignore relativity
Hi, can anyone help me with the following question:
Find the solution of the ODE:
m(dv/dt)=mg-kv^2
with the initial condition v=v0 at t=0
Is it integration by parts that should be used?
Thanks in advance for any help!
Several years ago, during an interesting discussion in an argument [apparently...] 'far from math', I imposted the problem of the fall of an object of mass m with initial speed 0 and initial position L under action of gravity and 'aerodinamic resistance'. The DE that describes the problem is...
(1)
In (1) You can separate the variables obtaining...
(2)
If we set in (2) v(0)=0 we obtain c=-1 so that is...
(3)
If we integrate (3) with the condition y(0)= L we obtain...
(4)
May be that, sooner or later', I will explain You what has been the 'scope' amd the 'queue' of the 'discussion' ...
Kind regards