Differential Equations › Section D · Laplace transforms › Topic D.6
Nonconstant coefficient problems
Laplace transforms are built for constant coefficients, but when a coefficient is a simple multiple of t the method still works, with a twist: instead of an algebraic equation for Y(s), you get a differential equation for it.
In this topic
- Beyond constant coefficients
- Transforming a factor of t
- Exponential order and a limit
- Worked example: setting up
- Worked example: solving for Y
- Worked example: a constant fixed by data
- Where the constants go
- The limits of the method
- Common mistakes to avoid
- Key takeaways
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