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ELEMENTRY DIFFERENTIAL EQUATIONS 5.4

ELEMENTRY DIFFERENTIAL EQUATIONS 5.4 - (x-0)^2-3x = 3x =-3...

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ELEMENTRY DIFFERENTIAL EQUATIONS 9 th Edition, Boyce Chapter 5.4 1- 3- 5- 7- 9- 11- 13- 15-
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19- , so x^2=0, or x=1, and x=0. p(x)= (x-2)/x^2(1-x) q(x)= -3x/x^2(1-x) lim (x-0)(x-2) = (x-2) = x/x-2/x = 1 = infinite x->0 x^2(1-x) x(1-x) x/x-x/x 0 lim (x-0)^2(-3x
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Unformatted text preview: (x-0)^2(-3x ) = 3x = -3 = -3= finite x->0 x^2(1-x) (1-x) 1 so, x=0 is an irregular singular point. lim (x-1)(x-2) = -(x-2) = 1 = 1 = finite x->1 x^2(1-x) x^2 1 lim (x-1)^2(-3x) = 3(x-1) = 0= finite x->1 x^2(1-x) x so x=1 is a regular singular point. 35- 37- 39-...
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