Question: Solve the following boundary value problems by using superposition: (a) u + 9u = x, u(0) = 1, u'() = 0 (b) u - 8u

Solve the following boundary value problems by using superposition:
(a) u" + 9u = x, u(0) = 1, u'(π) = 0
(b) u" - 8u′ + 16u = e4x, u(0) = 1, u(1) = 0
(c) u" + 4u = sin 3x, u'(0) = 0, u(2π) = 3
(d) u" - 2u' + u = 1 + ex, u'(0) = -1, u'(1) = 1

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