MATH 240 Midterm: MATH 240 KSU Test 3s94

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Solutions may include integrals with xed lower bound, variable upper bound and integrand not succeptible to standard technique. In problems where power series solutions are used, you should explicitly calculate terms up to and including the third non-zero term or the rst term determined by using the general recurrence relation, whichever gives more terms. Name: solve x + 4x + 5x = (t) x(0) = 0 x (0) = 0 page 3. Xy + y = 0 y(1) = 1 y (1) = 2 page 4. Xy = 0 y(0) = 1 y (0) = 1 page 5. Name: (a) find and classify as regular or irregular the singular points of (x 2)y . Xy = 0. (b) find a lower bound on the radius of convergence for a series solution to (x 2)y y xy = 0 about x = 0 . page 6.

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