Differential Equations Final Review

Important things to remember

Delta

Delta is symmetric

Partial derivatives

Partial derivatives may require the chain rule

T-periodic functions

If f(t) is T-periodic, you can’t find F(s) with simple step functions

If a differential equation is equal to another one

You need to use (s²y(s) - sy(0) - y’(0))…on both sides

L^-1{5/s²}

5t

sine series of sin(10x)

sin(10x)

a0, an, bn