It looks like you forgot the constant of integration.leonne said: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
A differential equation is a mathematical equation that describes the relationship between a function and its derivatives. It is used to model many natural phenomena and physical processes.
A regular equation involves only algebraic operations, while a differential equation involves derivatives of a function. This means that a differential equation is used to describe how a function changes over time or space.
Differential equations are used in many scientific fields, such as physics, engineering, economics, and biology. They can be used to model the growth of populations, the movement of fluids, and the behavior of electrical circuits, among other things.
The method for solving a differential equation depends on its type and complexity. Some equations can be solved analytically, while others require numerical methods. It is important to identify which type of differential equation you are dealing with before attempting to solve it.
There are several types of differential equations, including ordinary differential equations, partial differential equations, and stochastic differential equations. They can also be classified based on their order, linear or nonlinear nature, and the number of variables involved.