Question: y 00 + (1 + x2 )2 y = 0, 1 y(0) = y(1) = 0. y 0 (0) = y(1) = 0. k d2
y 00 + (1 + x2 )2 y = 0, 1 y(0) = y(1) = 0. y 0 (0) = y(1) = 0. k d2 dv 2 K 2 (U1 /u )2 = 0, 1 A2 v 2 2 U1 v = u/U1 u / u K, A v U1 /u 1 = (v) . x2 y 00 y = 0, x2 y 00 + xy 0 + y = 0, 0 < 1. y = xm y = a xm + + b xm , m = 1 2 q 1 + 1 4 3 y(1) = 3, y(1) = 0. y 00 + b(x)y 0 + c(x)y = 0, b(x) b(x) y = eu(x)/ = () 1 yW KB = C1 exp Z x a u(x) Z x c(t) C2 c(t) dt + exp dt b(t) b(x) a b(t) y 00 + y 0 + x2 y = 0 y(0) = 0 y(1) = 1. 1 Z x b(t)dt a
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