Question about a differentail equation

[leonne]

Homework Statement

...what is speed at a later time T. It a physics problem(electromagnetism)

Homework Equations

The Attempt at a Solution

ok so i got up to this formula
dv/v=((B²L²)/(Rm))dt
and i do the integration and get
v=e^{((B2L2)/(Rm))T} but the answer is similar but has a Vo before the e. Whats with the Vo?
thanks

 

[Mark44]

Homework Statement

...what is speed at a later time T. It a physics problem(electromagnetism)

Homework Equations

The Attempt at a Solution

ok so i got up to this formula
dv/v=((B²L²)/(Rm))dt
and i do the integration and get
v=e^{((B2L2)/(Rm))T} but the answer is similar but has a Vo before the e. Whats with the Vo?
thanks

It looks like you forgot the constant of integration.

From this equation,
dv/v=((B²L²)/(Rm))dt

you get ln|v| = ((B²L²)/(Rm))t + C

 

[leonne]

o yeah ok thanks