Industrial Mathematics - Alexiades
                  Homework on solving ODEs
                Do it whenever you can... submit on paper.

Since we have been discussing ODEs, it's a good opportunity to review some of the
standard analytical methods for solving ODEs.
Solve the following Initial Value Problems by hand (refer to your favored ODE book) 
1.   dx/dt = 2x − 2t2 − 3 ,   x(0) = 2   (linear)

2.   dx/dt = tx + t3x2 ,   x(0) = 1   (Bernoulli)

3.   dx/dt = 2x − 3y + 3et,   x(0) = 1      (linear system)
     dy/dt = − x + y − et,    y(0) = 0