You are Here: Home >< Maths

# help with differential equation please watch

1. I am really struggling with this differential problem please can someone help:

The equation of a motion of a train is given by: m.dv/dt = mk(1-e^-t)-mcv , where v is the speed, t is the time and m, k and c are constants. Determine a general equation for the speed, v given that v=0 and t=0.

I understand i should use the integration factor but am just getting stuck any help would be appreciated.
2. You can start by cancelling the s. Then you need to write it in the form

That is, identify what your and are, and then just follow the usual method.
3. i woudl normally keep it in the format dv/dt + f(t) V = g(t)

then just a case of finding the IF, mulitplying by this then d/dt [ f(t). v ] = g(t)

then just integrate?

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: March 22, 2011
The home of Results and Clearing

### 2,790

people online now

### 1,567,000

students helped last year
Today on TSR

### Took GCSEs this summer?

Fill in our short survey for Amazon vouchers!

### University open days

1. Bournemouth University
Wed, 22 Aug '18
2. University of Buckingham
Thu, 23 Aug '18
3. University of Glasgow
Tue, 28 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams