SlopeField Problems

Many slopefield problems begin with the student needing to draw a given slopefield for a number of given points (x, y). Usually it’s around six to eight points given a differential equation like dy/dx = 2x.

 

After that part of the problem wants the student to solve for a particular solution

y = F(x) where an Initial Condition is given such as F(2) = 0. This requires the student to separate the variables, then use integration techniques to find the particular solution and the initial condition to find the constants of Integration.

 

This can be easy or difficult depending on the differential equation (D.E.)

 

The above problem is left as an exercise for review of the process and the techniques of finding antiderivatives.

 

Good luck!