Differential Equations › Section E · Systems of differential equations › Topic E.8
Nonhomogeneous systems
Real systems are pushed from outside: brine flows into a tank, a motor drives a set of masses, a heater warms a room. This topic shows how to add that push to a linear system and still solve it exactly, using the same two methods you met for single equations.
In this topic
- Systems with an outside push
- Complementary plus particular
- Undetermined coefficients with vectors
- Worked example: a linear forcing term
- When the forcing matches an eigenvalue
- Fundamental matrices
- Variation of parameters for systems
- Worked example: variation of parameters
- The matrix exponential
- Common mistakes to avoid
- Key takeaways
This topic is part of Wuanberri Pro. Checking your access…