Mathematics
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大学数学の微分の問題教えてください！
7. f(x) = aresinz とおくとき,次の問いに答えよ.
(1) (1-㎡2)f"(z)-xf (z) = 0 が成り立つことを示せ.
(2) 自然数nに対して次の式が成り立つことを示せ .
(3) f(n) (0) を求めよ.
(1 − x²) ƒ(n+2) (x) − (2n + 1)xƒ(n+¹) (x) − n² f(n)(x) = 0
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