Differential Equations

When you have finished this chapter you should be able to 1.identify a first order differential equation2.sketch the direction field for a first order differential equation3.given initial conditions sketch a particular solution curve on the direction field plot4.obtain the general solution to a first order differential equation by separating the variables5.use initial conditions to obtain a particular solution from the general solution6.set up differential equations7.use simple numerical methods to obtain approximate solutions to differential equations