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# If $p$ and $r$ in $y^{\prime}+p(x) y=r(x)$ are continuous for all $x$ in an interval $\left|x-x_{0}\right|<a,$ show that $f(x, y)$ in this 0 DE satisfies the con...

## Question

###### If $p$ and $r$ in $y^{\prime}+p(x) y=r(x)$ are continuous for all $x$ in an interval $\left|x-x_{0}\right|<a,$ show that $f(x, y)$ in this 0 DE 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 $y^{\prime}+p(x) y=r(x)$ are continuous for all $x$ in an interval $\left|x-x_{0}\right|<a,$ show that $f(x, y)$ in this 0 DE 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?

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