Table of Differential equations - Copy (2)

Table of Differential equations - Copy (2) - A. Alaca MATH...

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Unformatted text preview: A. Alaca MATH 1005 Winter 2010 1 Last modified: January 11, 2010 Table of Differential equations Diffential Eqn. Separable DE. Homogeneous DE. General Form y = f ( x) g ( y ) y = f (x, y) = g(v), v = y/x Method of Solution h(y) dy = f (x) dx, h(y) = 1/g(y) dv dx = g (v ) − v x I ( x) = e P (x)dx (separable DE in x and v). , y= 1 I ( x) Q(x)I (x)dx First order Linear DE. y + P (x)y = Q(x) Bernoulli’s DE. y + P (x)y = Q(x)yn du + (1 − n)P (x)u = (1 − n)Q(x), u = y1−n dx ( First order Linear DE with variables x and u.) ...
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This note was uploaded on 03/08/2010 for the course MATH 1005 taught by Professor Any during the Winter '07 term at Carleton CA.

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