Find functions continuous everywhere on such that

Let , then we have a separable first order equation and we can compute,

Then, since we are given the condition we have

Therefore,

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Stumbling Robot

A Fraction of a Dot
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Find functions *f(x)* continuous on the real line satisfying given conditions

Find functions continuous everywhere on such that

Let , then we have a separable first order equation and we can compute,

Then, since we are given the condition we have

Therefore,