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Set of differentiable functions

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Reference no: EM131106192

Let C(R) be the linear space of all continuous functions from R to R.

Let Sc be the set of differentiable functions u(x) that satisfy the differential equation u′ = 2xu + c for all real x. For which value(s) of the real constant c is this set a linear sub-space of C(R)?

Reference no: EM131106192

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