### First Order Non-linear Differential Equation

The dependence of the velocity v of a particle upon time t obeys the differential equation: dv/dt = -av^2 - bv where a>0, b>0 are constants. The initial condition is v(0) = V0 where V0 is the velocity at time t=0. a. What is the order of this equation? Is it linear or non-linear? b. Find the general solution of the equation