(c) (x²+1)y" + xy' - y = 0 Note: These two function, p(x) - X x²+1 and q(x) = -1 x² +1' are actually analytic (i.e., they have convergent Taylor series expansions, so they can be represented by power series), meaning you can still use power series method for this problem. No need to use the Frobenius method.)
(c) (x²+1)y" + xy' - y = 0 Note: These two function, p(x) - X x²+1 and q(x) = -1 x² +1' are actually analytic (i.e., they have convergent Taylor series expansions, so they can be represented by power series), meaning you can still use power series method for this problem. No need to use the Frobenius method.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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