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Not done this in ages and just can't figure it out, i need to solve the equation;

[itex]\frac{dv}{dt}=-\alpha v+\lambda F[/itex]

Where alpha,lambda and F are constants.

I'm so used to solving differential equations numerically i think I have forgotten how to do it analytically:P

My first attempt was looking at the integrating factor method although that seemed to get a bit messy think i might have messed it up a bit.