Session 4

Linear Equations: Definition and Examples

1. Mattuck video lecture 3: 0:00 -- 7:26
	Linear 1st order, general form, standard form

2. Mattuck video lecture 3: 7:26 -- 23:13
	Examples

3. Doc 4.1
	Def., oryx, bank examples

4. Doc 4.2
	Radio quiz which of the following DE's are linear

5. Doc 4.3
	Radio uiz: bank, graph of Q(t): where making deposits

6. Doc 4.4
	System, signals, input, response

7. Doc 4.5
	Superposition

8. Doc 4.6
	Example RC circuit

9. Recit. video
	Mixing tanks

10. Doc 4.7
	Example insulation

11. Doc 4.8
	Haynes recit 3 problems 3-6

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Lec 3 notes:
	General form of equation
	***Add standard form

ex 0 oryxes with growth rate -- take from rec notes

ex 1 bank account --- lec notes and haynes SN 2.1

IR language
	Lec 3 notes, Haynes SN 2.3, Orloff topic 3

Superposition
	Mattuck IR.2
	Add example
		x'+3x=1--> x=1/3 (check by substitution)
		x'+3x=e^{2t} --> x=e^{2t}/5
		x'+3x=0 --> x=ce^{-3t}
	Find a solution x'+3x=2+3e^{2t}
	Find lots (all) solution to x'+3x=1
	Find lots (all) solutions to x'+3x=2+3e^{2t}

Some physical systems we will see repeatedly
ex 2 RC circuit Haynes Lec 3 notes
ex 3 mixing tanks orloff topic 3
ex 4 insulation haynes SN 2.2