Your group has been the winner of the national "entrepreneurial leaders" contest. The prize consists of financing your linear motor prototype-and building 2,000,000 motors in series. For this, they will make a presentation with the president in Latin America of the entrepreneurial leaders foundation.

The linear motor must have the following variables, among others:

By performing all the calculations with laws of physics, they arrive at the following differential equation

Symbol	Name	Valor
V0	Initial velocity	0.1 m/s
B	Magnetic field	1.2 T
L	rod length	0.2 m
R	Endurance	300 ohms
m	rod mass	0.01 kg.

dvdt=(B^(2)L^(2)/Rm)*v

So you are asked: