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# Differential Equations: Please read carefully and choose the best answer 1.1 1.2 1.3 1.4 In the...

Differential Equations: Please read carefully and choose the best answer

1.1 1.2 1.3 1.4 In the differential equation y"+xy'+x^2y 0 the point x 0 is a) Aregular singular point. Almost an ordinary point. b) c) An ordinary point. d) Almost a singular point. e) An irregular singular point.
Which of the following cannot be an interval of convergence for a power series: a) -1<x>1 b) x0 c) 0<x<+infinity d) infinity<x<+infinity e) -1<=x<-1
A power series solution of a differential equation Can include powers of X^1/2 a) Can be a finite sum b) Converges everywhere. c) Always involve elementary functions. e) Always has infinite number of nonzero terms.
The method of Frobenius is normally applied with a) Irregular singular points b) Regular singular points c) Points of divergence d Abnormal points e) Ordinary points

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