Are the Forces in These Equations Different?

[Darude]

Are two forces in the equation different forces?
I heard the force in the second equation is like impulsive force. The concept is nebulous to me can someone also elaborate further?

f=ma
f= mxΔv/t

 

[jtbell]

I don't recognize the second equation. Is it really $F = \frac{\Delta v}{\Delta t}$?

 

[Chandra Prayaga]

Are two forces in the equation different forces?
I heard the force in the second equation is like impulsive force. The concept is nebulous to me can someone also elaborate further?

f=ma
f= mxΔv/t

The second equation is wrong.