Solve the differential equation of a Malthusian population model?

Get Your "P"s on one side of the equation and "t"s on the other side... something like dP/k = dM....something in that lines...then integrate each side with respect to the variable you're integrating to....take your solution, evaluate it at P(0), set it equal to P_0, since it is a solution to this differential equation....Once you evaluate it at P(t=0) find the constant of proportionality, that's "k", this value tells you the rate at which your solution changes with respect to time. Basically I told you ever things you need....you just need your book and follow some steps.