Please use the power series centered at x = 0 to solve the following equation:
(1) Can x^4*y'' + y = 0 be solved by the above power series? Why?
(2) If it can be solved , please solve it directly. If not,you may use the
change variable x = 1/t to solve x^4*y'' + y = 0 .
第二小題答案為 y = c1 x cos x^-1 + c2 x sin x^-1
可是我算出來的答案 y = c1 cos x^-1 + c2 sin x^-1
可是我用詳解的答案驗算又正確
不曉得我錯在哪?
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