MATH 102 Lecture : Math 102 Chapter 13 Notes
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MATH 102 Full Course Notes
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First order of de is linear if it can be written in form. First order : only the first derivative / no derivative at all may occur in equation. Dd + by + v = ex . day, Law of mass action: b , on y day, r don"t depend. = 1- non-linear can"t have independent variable in equation. Kab = - ka non-linear de: if conc . Of a is half of b then 2 part b to one part a is added at constant rate. Slope fields - find shape of functions satisfying de. = fly) only depends on y , not -1 slope is known at any height of y ex . day = y -1 i y de. 9=-2 yl = - i y =-3 y " = -2 describes general shape ex . steeply decreasing day, - - - - - - y=z is when d =o.