Solved: (Linear ODE) If p and I' in y' + p(x)y = rex) are

Chapter 1, Problem 1.1.173

(choose chapter or problem)

If p and r in y ‘ + p(x) y = r(x) are continuous for all x in an interval \(\left|x-x_{0}\right| \leqslant a\), show that f(x, y) in this ODE satisfies the conditions of our present theorems, so that a corresponding initial value problem has a unique solution. Do you actually need these theorems for this ODE?

Text Transcription:

|x - x_0| leqslant a

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