MAP 2302 Midterm: MAP 2302 FIU Exam 302k
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1a) (5 pt) identify the singular points of the de and state whether the method of frobenius can be applied at those points: (x3 + x2)y + (x2 2x)y + 4y = 0. 1b) (5 pt) find and classify the singular point(s) of the de: x2y + x(x 1)y 8y = 0. Both refer to the de: a1(x)y + a2(x)y = 0 on an interval [a,b]. a0(x)y : 4. 6. 16: if the coe cients are continuous and nonzero, the de has two li solutions on. [a,b]: 4. 6. 20: if the de has two li solutions then every other solution is a lc of those two, (20pt) answer with true or false. If y1 and y2 are any two li solutions of bessel"s equation of order p (where p > 0 is any real number), then at least one of them contains a logarithm term. The positive zeros of j0 and y0 separate each other.
