The differential equation of the family of curves y = a * e^(bx) is
Correct: B
The given curve is y = a * e^(bx). Taking logarithm on both sides, we get log(y) = log(a) + bx*log(e). Differentiating both sides with respect to x, we get (1/y)*(dy/dx) = b. So, dy/dx = b*y