Hi guys.. very basic question Suppose we have the following differential equation d/dt p(t) = - p(t) * m(x+t) we can use separation of variables to solve it and get an expression for m(x+t), right? so dividing both sides by p(t), we get [d/dt p(t)]/p(t) = - m(x+t) how do I simplify the left hand side of this? in the notes it says it should be d/dt ln(p(t)) = -m(x+t) but I don't quite understand how we got the ln(p(t)) there... anyone know? thank you
To solve the separated variables we need to integrate the equations wrt to separated variable. So integrating d/dt ln(p(t)) = ln(p(t)).
