Differential Equation and Newtons 2. law

[Atilla1982]

In a fluid, there's an exponential force F = -b*e^v working against the direction of movement. B is constant, and v is the objects velocity in m/s.

They want me to use Newtons 2. law to find a differential equation for the movement of an object with mass m. The equation is separable, seperate so v is found on one side of the = and t on the other side.

Could anyone please point me in the right direction here?

[Brad Barker]

In a fluid, there's an exponential force F = -b*e^v working against the direction of movement. B is constant, and v is the objects velocity in m/s.

They want me to use Newtons 2. law to find a differential equation for the movement of an object with mass m. The equation is separable, seperate so v is found on one side of the = and t on the other side.

Could anyone please point me in the right direction here?

what's F = ma in terms of a differential equation?

(i take it that we want it in terms of velocity.)

after you get that step, you equate it to that resistive force, and ... there ya go.