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  3. 2 show that the function dx c2 21 is a...

Question: 2 show that the function dx c2 21 is a...

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2. Show that the function d(x) (c2 2)-1 is a solution to the i problem, dy/dr-2xy2, y(0) = 1/c2 on the interval-c < x < c. Graph the solution curves corresponding to c 1/2,1 and 2, on the same axes. This solution becomes unbounded as r approaches c. Thus, the solu exists on (-5, δ) with δ c but not for larger δ. Th existence of a solution can be quite small (if c is small) or large (if c is Notice there is no clue from the differential equation itself dy from the initial value, that the solution will blow up at x c. nonlinear problem. value Aside: his shows that the interval of large).
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