Differential Equation problems - Math Problem Example

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Since f(a) =0, we have f'(a) also to be zero. Now we can have f(x) be > 0. In this case the function is monotonically increasing, but since f(b) is also zero there must be an abrupt drop down to zero, which is not possible as f(x) and f '(x) are continuously varying function…

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Subject: Miscellaneous
Type: Math Problem
Level: Undergraduate
Pages: 3 (750 words)
Downloads: 2
Author: zrau

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An abrupt change would mean f '(x) is discontinuous and hence f(x). Thus f (x) must be zero in the given interval. (c) If b goes to infinity then basically we have only first two part of the solution. g(x)=0 for x>b. Same for a goes to -infinity. If a and b simultaneously go to infinite then the only solution is trivial solution. g(x)=0 every where. (d) for this part

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