- #1
dujardin
- 2
- 0
There is a problem I couldn't figure out , it says :
it says that a particle of mass m moves along a straight line and is acted on by a retarding force (one always directed against the motion) F=b*exp(a*v(t)),
b, a are constants and v is the velocity.
At t=0 it is moving with velocity V
and I am aked to solve the differential equation that results from this to get a function of v(t).
I found that the differential equation that has to be solved is :
dv/dt = (b/m)*exp[a*v]
so this is like solving a non-linear differential equation of the form y'=exp(y)
How do you do that??
it says that a particle of mass m moves along a straight line and is acted on by a retarding force (one always directed against the motion) F=b*exp(a*v(t)),
b, a are constants and v is the velocity.
At t=0 it is moving with velocity V
and I am aked to solve the differential equation that results from this to get a function of v(t).
I found that the differential equation that has to be solved is :
dv/dt = (b/m)*exp[a*v]
so this is like solving a non-linear differential equation of the form y'=exp(y)
How do you do that??