If p and r in are y' + p(x)y = r(x) are continuous for all x...

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If p and r in are y' + p(x)y = r(x) are continuous for all x in an interval |x - xo| < show that 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? If p and r in are y' + p(x)y = r(x) are continuous for all x in an interval |x - xo| < show that 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?