i need help with a problem involving separation of variables. here's the entire problem:
let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t > or = 0. after her parachute opens, her velocity satisfies the differential equation dv/dt = -2v - 32, with initial condition v(0) = -50
use separation of variables to find an expression for v in terms of t, where t is measured in seconds
anyone mind helping out?
thanks for the quick replies
i had that much so far, but i when i integrate dv/-2v-32 i get an antiderivative that is a nonreal answer
i end up with -2ln(-2v - 32) = t, but then the initial condition doesn't work because a natural logarithm can't equal zero
thanks again for the help