MATH 1B Lecture 13: Differential Equations

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25 Feb 2015
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Math 1b: calculus - lecture 13: differential equations. A differential equation is an equation with differentials in it. Uses in biology, chemistry, physics, fluid dynamics. (dy/dx) dx = x y = (x. 3/3) + c, where c is a constant. This is called the general solution to the differential equation. A: we have (dy/dx) = (x2/y). y (dy/dx) = x. Note that in (dy/dx) dx, dx does not cancel. This line results from integration by substitution. ( y (dy/dx) dx = y dy) (y 2/2) = (x3/3) + c, where c is a constant. y = sqrt[(2x.

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