Please verify my answer to the question presented If the ans

Please verify my answer to the question presented. If the answer is true or false, please state why.

Question: Suppose P(x) is continuous on some interval (I) and (a) is a number in I. What can be said about the solution of the initial-Value problem y

Solution

Actually this question is more related to the existence and uniqueness theorem of differential equations.

y\' + p(x)y = 0

Because p(x) is continuous on the interval I with y(a) = 0 where a is in I.

We are guaranteed to have a unique solution in the interval I

for the differential equation.

Please verify my answer to the question presented. If the answer is true or false, please state why. Question: Suppose P(x) is continuous on some interval (I) a

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