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